{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"]}, {"cell_type": "markdown", "metadata": {}, "source": ["# Python for Algorithmic Trading"]}, {"cell_type": "markdown", "metadata": {}, "source": ["**Chapter 04 &mdash; Vectorized Backtesting**"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Making Use of Vectorization"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Vectorization with NumPy "]}, {"cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": ["v = [1, 2, 3, 4, 5]"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": ["sm = [2 * i for i in v]"]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [{"data": {"text/plain": ["[2, 4, 6, 8, 10]"]}, "execution_count": 3, "metadata": {}, "output_type": "execute_result"}], "source": ["sm"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [{"data": {"text/plain": ["[1, 2, 3, 4, 5, 1, 2, 3, 4, 5]"]}, "execution_count": 4, "metadata": {}, "output_type": "execute_result"}], "source": ["2 * v"]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": ["import numpy as np"]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": ["a = np.array(v)"]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([1, 2, 3, 4, 5])"]}, "execution_count": 7, "metadata": {}, "output_type": "execute_result"}], "source": ["a"]}, {"cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [{"data": {"text/plain": ["numpy.ndarray"]}, "execution_count": 8, "metadata": {}, "output_type": "execute_result"}], "source": ["type(a)"]}, {"cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([ 2,  4,  6,  8, 10])"]}, "execution_count": 9, "metadata": {}, "output_type": "execute_result"}], "source": ["2 * a"]}, {"cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([2.5, 3. , 3.5, 4. , 4.5])"]}, "execution_count": 10, "metadata": {}, "output_type": "execute_result"}], "source": ["0.5 * a + 2"]}, {"cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": ["a = np.arange(12).reshape((4, 3))"]}, {"cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([[ 0,  1,  2],\n", "       [ 3,  4,  5],\n", "       [ 6,  7,  8],\n", "       [ 9, 10, 11]])"]}, "execution_count": 12, "metadata": {}, "output_type": "execute_result"}], "source": ["a"]}, {"cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([[ 0,  2,  4],\n", "       [ 6,  8, 10],\n", "       [12, 14, 16],\n", "       [18, 20, 22]])"]}, "execution_count": 13, "metadata": {}, "output_type": "execute_result"}], "source": ["2 * a"]}, {"cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([[  0,   1,   4],\n", "       [  9,  16,  25],\n", "       [ 36,  49,  64],\n", "       [ 81, 100, 121]])"]}, "execution_count": 14, "metadata": {}, "output_type": "execute_result"}], "source": ["a ** 2"]}, {"cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [{"data": {"text/plain": ["5.5"]}, "execution_count": 15, "metadata": {}, "output_type": "execute_result"}], "source": ["a.mean()"]}, {"cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [{"data": {"text/plain": ["5.5"]}, "execution_count": 16, "metadata": {}, "output_type": "execute_result"}], "source": ["np.mean(a)"]}, {"cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([4.5, 5.5, 6.5])"]}, "execution_count": 17, "metadata": {}, "output_type": "execute_result"}], "source": ["a.mean(axis=0)"]}, {"cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([ 1.,  4.,  7., 10.])"]}, "execution_count": 18, "metadata": {}, "output_type": "execute_result"}], "source": ["np.mean(a, axis=1)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Vectorization with pandas"]}, {"cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": ["a = np.arange(15).reshape(5, 3)"]}, {"cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([[ 0,  1,  2],\n", "       [ 3,  4,  5],\n", "       [ 6,  7,  8],\n", "       [ 9, 10, 11],\n", "       [12, 13, 14]])"]}, "execution_count": 20, "metadata": {}, "output_type": "execute_result"}], "source": ["a"]}, {"cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": ["import pandas as pd"]}, {"cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": ["columns = list('abc')"]}, {"cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [{"data": {"text/plain": ["['a', 'b', 'c']"]}, "execution_count": 23, "metadata": {}, "output_type": "execute_result"}], "source": ["columns"]}, {"cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": ["index = pd.date_range('2021-7-1', periods=5, freq='B')"]}, {"cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [{"data": {"text/plain": ["DatetimeIndex(['2021-07-01', '2021-07-02', '2021-07-05', '2021-07-06',\n", "               '2021-07-07'],\n", "              dtype='datetime64[ns]', freq='B')"]}, "execution_count": 25, "metadata": {}, "output_type": "execute_result"}], "source": ["index"]}, {"cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": ["df = pd.DataFrame(a, columns=columns, index=index)"]}, {"cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [{"data": {"text/html": ["<div>\n", "<style scoped>\n", "    .dataframe tbody tr th:only-of-type {\n", "        vertical-align: middle;\n", "    }\n", "\n", "    .dataframe tbody tr th {\n", "        vertical-align: top;\n", "    }\n", "\n", "    .dataframe thead th {\n", "        text-align: right;\n", "    }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", "  <thead>\n", "    <tr style=\"text-align: right;\">\n", "      <th></th>\n", "      <th>a</th>\n", "      <th>b</th>\n", "      <th>c</th>\n", "    </tr>\n", "  </thead>\n", "  <tbody>\n", "    <tr>\n", "      <th>2021-07-01</th>\n", "      <td>0</td>\n", "      <td>1</td>\n", "      <td>2</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2021-07-02</th>\n", "      <td>3</td>\n", "      <td>4</td>\n", "      <td>5</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2021-07-05</th>\n", "      <td>6</td>\n", "      <td>7</td>\n", "      <td>8</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2021-07-06</th>\n", "      <td>9</td>\n", "      <td>10</td>\n", "      <td>11</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2021-07-07</th>\n", "      <td>12</td>\n", "      <td>13</td>\n", "      <td>14</td>\n", "    </tr>\n", "  </tbody>\n", "</table>\n", "</div>"], "text/plain": ["             a   b   c\n", "2021-07-01   0   1   2\n", "2021-07-02   3   4   5\n", "2021-07-05   6   7   8\n", "2021-07-06   9  10  11\n", "2021-07-07  12  13  14"]}, "execution_count": 27, "metadata": {}, "output_type": "execute_result"}], "source": ["df"]}, {"cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [{"data": {"text/html": ["<div>\n", "<style scoped>\n", "    .dataframe tbody tr th:only-of-type {\n", "        vertical-align: middle;\n", "    }\n", "\n", "    .dataframe tbody tr th {\n", "        vertical-align: top;\n", "    }\n", "\n", "    .dataframe thead th {\n", "        text-align: right;\n", "    }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", "  <thead>\n", "    <tr style=\"text-align: right;\">\n", "      <th></th>\n", "      <th>a</th>\n", "      <th>b</th>\n", "      <th>c</th>\n", "    </tr>\n", "  </thead>\n", "  <tbody>\n", "    <tr>\n", "      <th>2021-07-01</th>\n", "      <td>0</td>\n", "      <td>2</td>\n", "      <td>4</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2021-07-02</th>\n", "      <td>6</td>\n", "      <td>8</td>\n", "      <td>10</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2021-07-05</th>\n", "      <td>12</td>\n", "      <td>14</td>\n", "      <td>16</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2021-07-06</th>\n", "      <td>18</td>\n", "      <td>20</td>\n", "      <td>22</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2021-07-07</th>\n", "      <td>24</td>\n", "      <td>26</td>\n", "      <td>28</td>\n", "    </tr>\n", "  </tbody>\n", "</table>\n", "</div>"], "text/plain": ["             a   b   c\n", "2021-07-01   0   2   4\n", "2021-07-02   6   8  10\n", "2021-07-05  12  14  16\n", "2021-07-06  18  20  22\n", "2021-07-07  24  26  28"]}, "execution_count": 28, "metadata": {}, "output_type": "execute_result"}], "source": ["2 * df"]}, {"cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [{"data": {"text/plain": ["a    30\n", "b    35\n", "c    40\n", "dtype: int64"]}, "execution_count": 29, "metadata": {}, "output_type": "execute_result"}], "source": ["df.sum()"]}, {"cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [{"data": {"text/plain": ["a    6.0\n", "b    7.0\n", "c    8.0\n", "dtype: float64"]}, "execution_count": 30, "metadata": {}, "output_type": "execute_result"}], "source": ["np.mean(df)"]}, {"cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [{"data": {"text/plain": ["2021-07-01     2\n", "2021-07-02     8\n", "2021-07-05    14\n", "2021-07-06    20\n", "2021-07-07    26\n", "Freq: B, dtype: int64"]}, "execution_count": 31, "metadata": {}, "output_type": "execute_result"}], "source": ["df['a'] + df['c']"]}, {"cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [{"data": {"text/plain": ["2021-07-01     0.0\n", "2021-07-02     4.5\n", "2021-07-05     9.0\n", "2021-07-06    13.5\n", "2021-07-07    18.0\n", "Freq: B, dtype: float64"]}, "execution_count": 32, "metadata": {}, "output_type": "execute_result"}], "source": ["0.5 * df.a + 2 * df.b - df.c"]}, {"cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [{"data": {"text/plain": ["2021-07-01    False\n", "2021-07-02    False\n", "2021-07-05     True\n", "2021-07-06     True\n", "2021-07-07     True\n", "Freq: B, Name: a, dtype: bool"]}, "execution_count": 33, "metadata": {}, "output_type": "execute_result"}], "source": ["df['a'] > 5"]}, {"cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [{"data": {"text/html": ["<div>\n", "<style scoped>\n", "    .dataframe tbody tr th:only-of-type {\n", "        vertical-align: middle;\n", "    }\n", "\n", "    .dataframe tbody tr th {\n", "        vertical-align: top;\n", "    }\n", "\n", "    .dataframe thead th {\n", "        text-align: right;\n", "    }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", "  <thead>\n", "    <tr style=\"text-align: right;\">\n", "      <th></th>\n", "      <th>a</th>\n", "      <th>b</th>\n", "      <th>c</th>\n", "    </tr>\n", "  </thead>\n", "  <tbody>\n", "    <tr>\n", "      <th>2021-07-05</th>\n", "      <td>6</td>\n", "      <td>7</td>\n", "      <td>8</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2021-07-06</th>\n", "      <td>9</td>\n", "      <td>10</td>\n", "      <td>11</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2021-07-07</th>\n", "      <td>12</td>\n", "      <td>13</td>\n", "      <td>14</td>\n", "    </tr>\n", "  </tbody>\n", "</table>\n", "</div>"], "text/plain": ["             a   b   c\n", "2021-07-05   6   7   8\n", "2021-07-06   9  10  11\n", "2021-07-07  12  13  14"]}, "execution_count": 34, "metadata": {}, "output_type": "execute_result"}], "source": ["df[df['a'] > 5]"]}, {"cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [{"data": {"text/plain": ["2021-07-01    True\n", "2021-07-02    True\n", "2021-07-05    True\n", "2021-07-06    True\n", "2021-07-07    True\n", "Freq: B, dtype: bool"]}, "execution_count": 35, "metadata": {}, "output_type": "execute_result"}], "source": ["df['c'] > df['b']"]}, {"cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [{"data": {"text/plain": ["2021-07-01    False\n", "2021-07-02    False\n", "2021-07-05    False\n", "2021-07-06     True\n", "2021-07-07     True\n", "Freq: B, dtype: bool"]}, "execution_count": 36, "metadata": {}, "output_type": "execute_result"}], "source": ["0.15 * df.a + df.b > df.c"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Strategies based on Simple Moving Averages"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Getting into the Basics "]}, {"cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": ["raw = pd.read_csv('http://hilpisch.com/pyalgo_eikon_eod_data.csv',\n", "                   index_col=0, parse_dates=True).dropna()"]}, {"cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["<class 'pandas.core.frame.DataFrame'>\n", "DatetimeIndex: 2516 entries, 2010-01-04 to 2019-12-31\n", "Data columns (total 12 columns):\n", " #   Column  Non-Null Count  Dtype  \n", "---  ------  --------------  -----  \n", " 0   AAPL.O  2516 non-null   float64\n", " 1   MSFT.O  2516 non-null   float64\n", " 2   INTC.O  2516 non-null   float64\n", " 3   AMZN.O  2516 non-null   float64\n", " 4   GS.N    2516 non-null   float64\n", " 5   SPY     2516 non-null   float64\n", " 6   .SPX    2516 non-null   float64\n", " 7   .VIX    2516 non-null   float64\n", " 8   EUR=    2516 non-null   float64\n", " 9   XAU=    2516 non-null   float64\n", " 10  GDX     2516 non-null   float64\n", " 11  GLD     2516 non-null   float64\n", "dtypes: float64(12)\n", "memory usage: 255.5 KB\n"]}], "source": ["raw.info()"]}, {"cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": ["data = pd.DataFrame(raw['EUR='])"]}, {"cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": ["data.rename(columns={'EUR=': 'price'}, inplace=True)"]}, {"cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["<class 'pandas.core.frame.DataFrame'>\n", "DatetimeIndex: 2516 entries, 2010-01-04 to 2019-12-31\n", "Data columns (total 1 columns):\n", " #   Column  Non-Null Count  Dtype  \n", "---  ------  --------------  -----  \n", " 0   price   2516 non-null   float64\n", "dtypes: float64(1)\n", "memory usage: 39.3 KB\n"]}], "source": ["data.info()"]}, {"cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": ["data['SMA1'] = data['price'].rolling(42).mean()"]}, {"cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": ["data['SMA2'] = data['price'].rolling(252).mean()"]}, {"cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [{"data": {"text/html": ["<div>\n", "<style scoped>\n", "    .dataframe tbody tr th:only-of-type {\n", "        vertical-align: middle;\n", "    }\n", "\n", "    .dataframe tbody tr th {\n", "        vertical-align: top;\n", "    }\n", "\n", "    .dataframe thead th {\n", "        text-align: right;\n", "    }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", "  <thead>\n", "    <tr style=\"text-align: right;\">\n", "      <th></th>\n", "      <th>price</th>\n", "      <th>SMA1</th>\n", "      <th>SMA2</th>\n", "    </tr>\n", "    <tr>\n", "      <th>Date</th>\n", "      <th></th>\n", "      <th></th>\n", "      <th></th>\n", "    </tr>\n", "  </thead>\n", "  <tbody>\n", "    <tr>\n", "      <th>2019-12-24</th>\n", "      <td>1.1087</td>\n", "      <td>1.107698</td>\n", "      <td>1.119630</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2019-12-26</th>\n", "      <td>1.1096</td>\n", "      <td>1.107740</td>\n", "      <td>1.119529</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2019-12-27</th>\n", "      <td>1.1175</td>\n", "      <td>1.107924</td>\n", "      <td>1.119428</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2019-12-30</th>\n", "      <td>1.1197</td>\n", "      <td>1.108131</td>\n", "      <td>1.119333</td>\n", "    </tr>\n", "    <tr>\n", "      <th>2019-12-31</th>\n", "      <td>1.1210</td>\n", "      <td>1.108279</td>\n", "      <td>1.119231</td>\n", "    </tr>\n", "  </tbody>\n", "</table>\n", "</div>"], "text/plain": ["             price      SMA1      SMA2\n", "Date                                  \n", "2019-12-24  1.1087  1.107698  1.119630\n", "2019-12-26  1.1096  1.107740  1.119529\n", "2019-12-27  1.1175  1.107924  1.119428\n", "2019-12-30  1.1197  1.108131  1.119333\n", "2019-12-31  1.1210  1.108279  1.119231"]}, "execution_count": 44, "metadata": {}, "output_type": "execute_result"}], "source": ["data.tail()"]}, {"cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": ["%matplotlib inline\n", "from pylab import mpl, plt\n", "plt.style.use('seaborn')\n", "mpl.rcParams['font.family'] = 'serif'"]}, {"cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["data.plot(title='AAPL stock price | 42 & 252 days SMAs',\n", "          figsize=(10, 6));\n", "# plt.savefig('../../images/ch04/sma_plot_1.png')"]}, {"cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": ["data['position'] = np.where(data['SMA1'] > data['SMA2'],\n", "                            1, -1)"]}, {"cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": ["data.dropna(inplace=True)"]}, {"cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["data['position'].plot(ylim=[-1.1, 1.1],\n", "                      title='Market Positioning',\n", "                      figsize=(10, 6));\n", "# plt.savefig('../../images/ch04/sma_plot_2.png')"]}, {"cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": ["data['returns'] = np.log(data['price'] / data['price'].shift(1))"]}, {"cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["data['returns'].hist(bins=35, figsize=(10, 6));\n", "# plt.savefig('../../images/ch04/sma_plot_3.png')"]}, {"cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": ["data['strategy'] = data['position'].shift(1) * data['returns']"]}, {"cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [{"data": {"text/plain": ["returns    -0.176731\n", "strategy    0.253121\n", "dtype: float64"]}, "execution_count": 53, "metadata": {}, "output_type": "execute_result"}], "source": ["data[['returns', 'strategy']].sum()"]}, {"cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [{"data": {"text/plain": ["returns     0.838006\n", "strategy    1.288039\n", "dtype: float64"]}, "execution_count": 54, "metadata": {}, "output_type": "execute_result"}], "source": ["data[['returns', 'strategy']].sum().apply(np.exp)"]}, {"cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["data[['returns', 'strategy']].dropna().cumsum(\n", "            ).apply(np.exp).plot(figsize=(10, 6));\n", "# plt.savefig('../../images/ch04/sma_plot_4.png')"]}, {"cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [{"data": {"text/plain": ["returns    -0.019671\n", "strategy    0.028174\n", "dtype: float64"]}, "execution_count": 56, "metadata": {}, "output_type": "execute_result"}], "source": ["data[['returns', 'strategy']].mean() * 252"]}, {"cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [{"data": {"text/plain": ["returns     0.085414\n", "strategy    0.085405\n", "dtype: float64"]}, "execution_count": 57, "metadata": {}, "output_type": "execute_result"}], "source": ["data[['returns', 'strategy']].std() * 252 ** 0.5"]}, {"cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": ["data['cumret'] = data['strategy'].cumsum().apply(np.exp)"]}, {"cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": ["data['cummax'] = data['cumret'].cummax()"]}, {"cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["data[['cumret', 'cummax']].dropna().plot(figsize=(10, 6));\n", "# plt.savefig('../../images/ch04/sma_plot_5.png')"]}, {"cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": ["drawdown = data['cummax'] - data['cumret']"]}, {"cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [{"data": {"text/plain": ["0.17779367070195917"]}, "execution_count": 62, "metadata": {}, "output_type": "execute_result"}], "source": ["drawdown.max()"]}, {"cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": ["temp = drawdown[drawdown == 0]"]}, {"cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": ["periods = (temp.index[1:].to_pydatetime() -\n", "           temp.index[:-1].to_pydatetime())"]}, {"cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([datetime.timedelta(days=1), datetime.timedelta(days=1),\n", "       datetime.timedelta(days=10)], dtype=object)"]}, "execution_count": 65, "metadata": {}, "output_type": "execute_result"}], "source": ["periods[12:15]"]}, {"cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [{"data": {"text/plain": ["datetime.timedelta(days=596)"]}, "execution_count": 66, "metadata": {}, "output_type": "execute_result"}], "source": ["periods.max()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Generalizing the Approach"]}, {"cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": ["import SMAVectorBacktester as SMA"]}, {"cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [], "source": ["smabt = SMA.SMAVectorBacktester('EUR=', 42, 252,\n", "                                '2010-1-1', '2019-12-31') "]}, {"cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [{"data": {"text/plain": ["(1.24, 0.36)"]}, "execution_count": 69, "metadata": {}, "output_type": "execute_result"}], "source": ["smabt.run_strategy()"]}, {"cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["CPU times: user 3.92 s, sys: 14.8 ms, total: 3.94 s\n", "Wall time: 3.94 s\n"]}, {"data": {"text/plain": ["(array([ 48., 238.]), 1.44)"]}, "execution_count": 70, "metadata": {}, "output_type": "execute_result"}], "source": ["%%time\n", "smabt.optimize_parameters((30, 50, 2),\n", "                          (200, 300, 2))"]}, {"cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["smabt.plot_results()\n", "# plt.savefig('../../images/ch04/sma_plot_6.png')"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Strategies based on Momentum"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Getting into the Basics"]}, {"cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [], "source": ["data = pd.DataFrame(raw['XAU='])"]}, {"cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [], "source": ["data.rename(columns={'XAU=': 'price'}, inplace=True)"]}, {"cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [], "source": ["data['returns'] = np.log(data['price'] / data['price'].shift(1))"]}, {"cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [], "source": ["data['position'] = np.sign(data['returns'])"]}, {"cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [], "source": ["data['strategy'] = data['position'].shift(1) * data['returns']"]}, {"cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["data[['returns', 'strategy']].dropna().cumsum(\n", "            ).apply(np.exp).plot(figsize=(10, 6));\n", "# plt.savefig('../../images/ch04/mom_plot_1.png')"]}, {"cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": ["data['position'] = np.sign(data['returns'].rolling(3).mean())"]}, {"cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": ["data['strategy'] = data['position'].shift(1) * data['returns']"]}, {"cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["data[['returns', 'strategy']].dropna().cumsum(\n", "        ).apply(np.exp).plot(figsize=(10, 6));\n", "# plt.savefig('../../images/ch04/mom_plot_2.png')"]}, {"cell_type": "markdown", "metadata": {}, "source": ["#### Intraday Data from Eikon"]}, {"cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": ["fn = '../data/AAPL_1min_05052020.csv'\n", "# fn = '../data/SPX_1min_05052020.csv'"]}, {"cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [], "source": ["data = pd.read_csv(fn, index_col=0, parse_dates=True)"]}, {"cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["<class 'pandas.core.frame.DataFrame'>\n", "DatetimeIndex: 241 entries, 2020-05-05 16:00:00 to 2020-05-05 20:00:00\n", "Data columns (total 6 columns):\n", " #   Column  Non-Null Count  Dtype  \n", "---  ------  --------------  -----  \n", " 0   HIGH    241 non-null    float64\n", " 1   LOW     241 non-null    float64\n", " 2   OPEN    241 non-null    float64\n", " 3   CLOSE   241 non-null    float64\n", " 4   COUNT   241 non-null    float64\n", " 5   VOLUME  241 non-null    float64\n", "dtypes: float64(6)\n", "memory usage: 13.2 KB\n"]}], "source": ["data.info()"]}, {"cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [], "source": ["data['returns'] = np.log(data['CLOSE'] /\n", "                         data['CLOSE'].shift(1))"]}, {"cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [], "source": ["to_plot = ['returns']"]}, {"cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [], "source": ["for m in [1, 3, 5, 7, 9]:\n", "    data['position_%d' % m] = np.sign(data['returns'].rolling(m).mean())\n", "    data['strategy_%d' % m] = (data['position_%d' % m].shift(1) *\n", "                               data['returns'])\n", "    to_plot.append('strategy_%d' % m) "]}, {"cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["data[to_plot].dropna().cumsum().apply(np.exp).plot(\n", "    title='AAPL intraday 05. May 2020',\n", "    figsize=(10, 6), style=['-', '--', '--', '--', '--', '--']);\n", "# plt.savefig('../../images/ch04/mom_plot_4.png')\n", "# plt.savefig('../../images/ch04/mom_plot_5.png')"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Generalizing the Approach"]}, {"cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [], "source": ["import MomVectorBacktester as Mom"]}, {"cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [], "source": ["mombt = Mom.MomVectorBacktester('XAU=', '2010-1-1',\n", "                                '2019-12-31', 10000, 0.0)"]}, {"cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [{"data": {"text/plain": ["(21202.37, 10139.12)"]}, "execution_count": 90, "metadata": {}, "output_type": "execute_result"}], "source": ["mombt.run_strategy(momentum=3)"]}, {"cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["mombt.plot_results()\n", "# plt.savefig('../../images/ch04/mom_plot_6.png')"]}, {"cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [], "source": ["mombt = Mom.MomVectorBacktester('XAU=', '2010-1-1',\n", "                                '2019-12-31', 10000, 0.001)"]}, {"cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [{"data": {"text/plain": ["(12196.06, 1132.8)"]}, "execution_count": 93, "metadata": {}, "output_type": "execute_result"}], "source": ["mombt.run_strategy(momentum=3)"]}, {"cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["mombt.plot_results()\n", "# plt.savefig('../../images/ch04/mom_plot_7.png')"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Strategies based on Mean-Reversion"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Getting into the Basics"]}, {"cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [], "source": ["data = pd.DataFrame(raw['GDX'])"]}, {"cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [], "source": ["data.rename(columns={'GDX': 'price'}, inplace=True)"]}, {"cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [], "source": ["data['returns'] = np.log(data['price'] /\n", "                         data['price'].shift(1))"]}, {"cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [], "source": ["SMA = 25"]}, {"cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [], "source": ["data['SMA'] = data['price'].rolling(SMA).mean()"]}, {"cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [], "source": ["threshold = 3.5"]}, {"cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [], "source": ["data['distance'] = data['price'] - data['SMA']"]}, {"cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["data['distance'].dropna().plot(figsize=(10, 6), legend=True)\n", "plt.axhline(threshold, color='r')\n", "plt.axhline(-threshold, color='r')\n", "plt.axhline(0, color='r');\n", "# plt.savefig('../../images/ch04/mr_plot_1.png')"]}, {"cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [], "source": ["data['position'] = np.where(data['distance'] > threshold,\n", "                            -1, np.nan)"]}, {"cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [], "source": ["data['position'] = np.where(data['distance'] < -threshold,\n", "                            1, data['position'])"]}, {"cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [], "source": ["data['position'] = np.where(data['distance'] *\n", "            data['distance'].shift(1) < 0, 0, data['position'])"]}, {"cell_type": "code", "execution_count": 106, "metadata": {}, "outputs": [], "source": ["data['position'] = data['position'].ffill().fillna(0)"]}, {"cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["data['position'].iloc[SMA:].plot(ylim=[-1.1, 1.1],\n", "                               figsize=(10, 6));\n", "# plt.savefig('../../images/ch04/mr_plot_2.png')"]}, {"cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [], "source": ["data['strategy'] = data['position'].shift(1) * data['returns']"]}, {"cell_type": "code", "execution_count": 109, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["data[['returns', 'strategy']].dropna().cumsum(\n", "        ).apply(np.exp).plot(figsize=(10, 6));\n", "# plt.savefig('../../images/ch04/mr_plot_3.png')"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Generalizing the Approach "]}, {"cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [], "source": ["import MRVectorBacktester as MR"]}, {"cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [], "source": ["mrbt = MR.MRVectorBacktester('GLD', '2010-1-1', '2019-12-31',\n", "                             10000, 0.001)"]}, {"cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [{"data": {"text/plain": ["(14599.04, 3891.53)"]}, "execution_count": 112, "metadata": {}, "output_type": "execute_result"}], "source": ["mrbt.run_strategy(SMA=43, threshold=7.5)"]}, {"cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [{"data": {"image/png": 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NhIRE3LxZj+effxEdHe345ptD6OjowJYtGzFnzn1oa2vD9u3bMHhwDmpqrmLBgoUYODANlZUV2LJlI/Ly8qFWq/HVV19g0aLHsX//Pmg0Grz88h8hlTZg3bo38NvfPoVx4yb06mtDwRgJCEcbP2hpZIwQQsJSaen3KCsrw8qVawAAe/d+io8/3omnnnoOY8eOx9mzZRAIBPjpT+8CsBeLFj0OAHjyyf/Dk08uwqJFj0OtVqGpqQm1tTW45557weVysW7dahw7dhQ/+tFtmDJlGurrbxjf+9JLS/C73z2NkSNH49SpE9iwYR3+8pc3sHr1SjzzzAsYPnwEjh8vxblzP+CnP70Lo0aNwYsvPocBAwYAYDBtWmGvAzGAgjESIDq9/WCMpikJISTw7s25y+UolrdVV19CZmam8fldd81Bbm4+tm//B0pK/oY77rgTI0eOtvvetLR08Pl88Pl8ZGREobGxASUl6xEbG4crV65g6NA8h/c8duwozpw5DbVaBbE4EgBw5Uo10tPTAQCpqQON5w8cmIYBA1Jx/Hgpzpw5hfvvf8ArfadgjASETkfBGCGEEJOcnKHYs+cj4/O9e/cgNjYWr766AgqFAr/85XzMnPlT8Hg8MAwDlUqJhoabEAiENtd6+eUivPfevzBgwAB0dXUaj3O5hlT59vY2dHUpkJMzFFOnzkBOzhCo1WocOXIQADBoUDZqa2sxYsRI3Lhx3eLa8+Y90D21OQTx8fFe6TsFYyQgdHr7QZdKq/NzSwghhASDiRNvwZUrlXj77Q0QCoWIjY3Fd9+dxaVLF8HhcDB16nTExMQiKysbUmkj3nxzLSZP/jHOni1DQ8NN7N27B3fddQ8AYM6c+7BmTTFGjRqNc+d+QG3tVdx6620YNmw49u/fh4aGm7j//p9j6dLl+OCDfyIlJRWNjQ2YOfNOAMCSJS9i06a3MWzYcAgEAnA4HGM7CwomYf36v+K3v33Ka33nMI6Sd4Kcp7u69+Ud4R0Jxj63d6nx9PpvbY4/MCMHMydm9Pr6wdhnfwjHflOfwwP1OTwES58vXqxAZmYWIiIicObMKXz++WdYunQ51Go1hEIh3nhjFZ5/fmmPrpmUFO3wNRoZIwHhaJrygwNVXgnGCCGEEE9dvlyNTz75CBkZmairq8Wvf/0YAGDlytfQr18SCgt/4tX7UTBGAsLRNCUhhBASaLNmzcasWbNtjr/66gqf3M9lMCaVSrFu3TpUVFRg165dAAC1Wo2tW7ciMjISVVVViI+PxzPPPAMA2Lx5M+RyOdrb2zF58mQUFhYCAMrLy7F9+3akpaVBJpOhqKgIfD4fKpUKxcXFSE5OxtWrV7F48WJkZWX5pLMkeDhaTUkIIYSEG5fB2MmTJ1FYWIjy8nLjsU2bNmHixIkoKCgAAFRUVAAAysrKUFpaik2bNkGj0WD27NkoKChAdHQ0lixZgq1btyIpKQmrVq3C7t27MW/ePGzbtg0pKSl47LHHUFlZiWXLlmHHjh0+6i4JFnonwZhOrwePS5tDEEIICQ8uP/FmzZqFqKgoi2N79+7FtWvX8N5772HdunVISkoCABw8eBBjxowBAAgEAmRnZ+P48eOoq6uDUqk0njdu3DgcPnwYAHDo0CGMHTsWAJCbm4uKigrI5XLv9ZAEJUc5YwCg1tAUJiGEkPDhUc7Y9evXweFw8Mgjj+C7777D008/jffffx/Nzc3Izs42nieRSNDc3AyZTGYR0EkkEshkMgBw+JpEInHahvh4Mfh8nifNd7qioa8Ktj63qRyXsIiJFSMuOqLX9wi2PvtLOPab+hweqM/hIRz77FEwJpFIMGrUKADA+PHjceLECeh0OiQkJKCz01RcTS6XIyEhAYmJiTbHExMTAcDpa860tHR50vSgWTbrT8HY5yaZ5ejn+KFJOHlRCgBolHZAo1T36vrB2Gd/CMd+U5/DA/U5PPTlPjsLMj1KzLn11ltRV1cHwDBKlpGRAR6Ph+nTp+PMmTMAAK1Wi+rqahQUFCA9PR0ikQhSqeHD9tSpU5g6dSoAYNq0aTh9+jQAoLKyEnl5eS5HxUjos56mHJAoNr1GKy0JIYSEEd6rr776qrMTjh07hj179qC8vBxKpRIjR47EhAkTsGPHDlRVVeHLL7/E888/j+TkZAwYMACNjY04dOgQ9u/fj1/84hfIz88Hh8PB2LFjsXHjRpSXl0OhUODRRx8Fl8vF8OHD8fnnn+PChQs4fPgwXnjhBbe2F+jq8mzkJCoqwuP3hqpg7HNjqwLfnbtpfD5oQAw6FRp0KrXQ6hiMzunXq+sHY5/9IRz7TX0OD9Tn8NCX+xwV5Tj9hirwh4Fg7PO5KzKs+bDM+HzamFQcOnPD+Hz9U1MgiRR4fP1g7LM/hGO/qc/hgfocHvpyn70+TUlIb1lPU6qtNgjv6KN/GRFCCCHWKBgjAWFdZ8w6GHM0Xnvuigzvf1GJEB3QJYQQQmzQdkjE79o71fjmh3qLYxqNZakLR6EWO7U5dUwqMpLDb/kzIYSQvoeCMeJ3a3aeQW2DZWkLm5ExF9sl0XZKhBBC+gqapiR+Zx2IAYBGp0fRQ2ONz10FWzU3+2aCJyGEkPBDwRgJCpn9o5GbYSppotU5rzX2jy8qvXJffZDlnp2pakJbJy1eIISQcELBGAkK908bbPHcVTAGAI0e7sLA+ttHZfjtmiO9uoY3Xalvx/qPf8DK908EuimEEEL8iIIxEhQihJb7jFqvtrRnx1eXPL5fvawTZdUyqDSO98j0t5YOFQBA2qoMcEsIIYT4EwVjJKjcPj4NAOBOfn5mL1ZTLttU6vF7fYXL4QS6CYQQQgKAgjESVGIlQgDu5XJ5K3YJhppleoZBaXlDoJtBCCEkACgYI0GFHR1yZ5pS40ZemTsCH4oBu49cRukFUzDWqdQEsDWEEEL8ieqMkaDCYYMxO6NV1vldWq13wiiGYbw3zNZD9bJOu1OmV292YPighAC0iBBCiL/RyBgJOPMNwblcdmTM9rx9R2ssnvdmZCyuezoUcLz1kj/89cMzdo93UHkLQggJGxSMkYD61axcvPJIgfF5dyxmN4/LulisrofBWPX1NsgVmu7rm44HMhhrbldZPM9NjwMAvPOfC4FoDiGEkACgYIwE1NQxA5EYKzI+N46MuREh9aRga1ObAiveP4nXth4DAGgstl8KXDQWJbLMFAiGxQSEEEL8i4Ix4nfO0rOcJfAPHhgDAOBx3U/yZ7EjULJ2FRiGgVJtyj8L5DaXcZIIi+dDzXYhIIQQEh4oGCN+52zwx9nImEhoGEWaNz2n+xzgelMnLt9od3lP8ylNtUZvef0ABmMxUUKL51EiPvrFipAQE+HgHYQQQvoaCsZIUGFHzewl8LMBlVDA7T6HwfLNpfjzP064nLI033i8S6W1eC2Q+1NajxKqtXpECHlQqYNnZwBCCCG+RcEY8buxQ/oBAH47d4TNa1wHpS3qZZ344EAVAEDI59qc8+XxOqf31JoFY//+3xUPWu0b7FTrLcOTAQCZyRJERwrQqdSi/GqzzflfHq/De/vK3dq7kxBCSGigYIz4HZvzNaR75aA5R9OU27+8aHws5Bv2sTTPGfvwQBU6uhyXg2g3KxVx+MwNi9cCmTSv1zPgAPj1T/Pxh0cmYGR2ojGHbfUHtmUv/vX1JRwpq8d35276t6GEEEJ8hoIx4ndssGFvL0b2GGOVVW8eLwm6R8asY6imNvsbbOsZBu/tq3DYnkCuX9QxDLhcDgR8LgYNiDEWvXVF2qrwccsIIYT4CwVjxO/YkSiunbjDmDNmFSFFCHjGx8Lux9ajZ2yQZq2huctFe5y+7DMMw0Cj0RtHClnmfXWkU0HbJRFCSF9B2yERv2OT6e2NAtkbLQOACKFZMMY3JfC7815XAjVN+e5/y1HbKLc5LhLaD8bM26nSUM4YIYT0FTQyRvyOLbjKroq0x3rUS2g26iWwk8APOK47Zlng1YTP654SddFeX/nfWft5Xz+fkWPxXKHS4r19Fbgm7TQe09lbbkoIISQk0cgY8TuNTg8OB+BxbYMx42iZVYRkHnex03gXrrZYnKPrYTAWIeBBq9MGdDskexJiRMjPjEd5TQta5SqcrJTiSNkNHCkzLTzQ6oKs0YQQQjxGI2PE7zRavcP8Lo6DvSm1ZiNB5u81HzFzVC/MUTBmPD/YojEY9tEEgDd3/YDICNtpS4VVrTRCCCGhi4Ix4ndarR4CnotgzPo93SNBQj7Xsmq9WZqYo5ExtdZ+AdXs1FgAgdsOKT7aUGV/Yn5/m9fU3QHklfoOu6Ng5TUtNscIIYSEJpfTlFKpFOvWrUNFRQV27doFAHjzzTdx7Ngx4zlPPPEEJk+eDADYvHkz5HI52tvbMXnyZBQWFgIAysvLsX37dqSlpUEmk6GoqAh8Ph8qlQrFxcVITk7G1atXsXjxYmRlZfmiryRIOB0Z646urAer2Hyw13/zI/DNAjm1WSK7o5wxtuL+3ClZOFEpRV2jHM/OH22c9gtUAn9yfCRaOlRYeGe+zWuDB8ag+rphmydHZTkYhnG7FAYhhJDg5TIYO3nyJAoLC1FeXm5x/P3337c5t6ysDKWlpdi0aRM0Gg1mz56NgoICREdHY8mSJdi6dSuSkpKwatUq7N69G/PmzcO2bduQkpKCxx57DJWVlVi2bBl27NjhvR6SoKPRuTFNCfvJ+eyI2picfjhT1WRxjrRVgaF2CskqlIZgrH+8GK8tnGg8vmZnGQDg+ZLvsPxXE5CVEuNBbzzH9klop5TFk/eMwPMl3zl9v1qrd6sMBiGEkODmcppy1qxZiIqKsjn+97//HVu2bME777wDhcJQgPLgwYMYM2YMAEAgECA7OxvHjx9HXV0dlEolkpKSAADjxo3D4cOHAQCHDh3C2LFjAQC5ubmoqKiAXG673J/0HYaRMftBhClnzPI4mzPGVui3txJzy2flNscAUxkIZ4HLn7adcNpmX9AxjE2NMVZkhOu1NcfKG7zdJEIIIQHg0WrKWbNmYeDAgRCLxdi+fTv+9Kc/YeXKlWhubkZ2drbxPIlEgubmZshkMouATiKRQCaTAYDD1yQSidM2xMeLwXfwge5KUlK0R+8LZcHUZ51ej0gR326bYpsMBVrFYqHF63ye4d86uX8MBHwuYqNFNu/tFxdp8R72sVhsyDGLjxc7/Tr4+2vE5XLB43Ls3lfjIM8NAO64JRNfHK3B1v9W4B+fV2L363dbTFcG07+1v1CfwwP1OTyEY589CsaGDBlifHzLLbdgy5YtAICEhAR0dppqIcnlciQkJCAxMdHmeGJiIgA4fc2ZlhbnVdUdSUqKhlTa4dF7Q1Ww9Vmt0YPDwG6bOtoNo6xyucridaXKUHG+uVkOLocDvdkKyZHZiTh7WYaC3CTje8z73CFXGq/t7Ovg76+RWq0Dh8uxe197K0PvuS0LGckSZKfE4IujNQAMixbOX2pEcrwYQPD9W/sD9Tk4MAwDlc7x/rC9ldRPAmmT5ayJgMsHj9t3p+qD8d/Z1/pyn50FmR4FY8XFxSgqKgIA1NTUIDMzEwAwffp0bNiwAQCg1WpRXV1tzBkTiUSQSqVISkrCqVOnMHXqVADAtGnTcPr0aUyYMAGVlZXIy8tzOSpGQpdOr4dOzzjMGYOD1ZQ6PQMOx1Rlv0Nh+qWfGGNYlah2UMLCWPHfwZQgq0upgVgkcNED79HpGfAcJODb201gZkE6IiP4NmUtNFSNnwSB9y78CycabDe396VIfiRenvQs4iJi/XpfQrzNZTB27Ngx7NmzB1KpFCUlJVi4cCH4fD7+/Oc/IzExERcvXsQf/vAHAMDo0aMxadIkrFmzBm1tbVi6dCliYgxJ0atXr8batWuRmpoKnU6HuXPnAgAWLFiA4uJilJSUoLa2FitWrPBhd0mgabXdifgOE/jtJ43p9Jb5VV1KU0AS3T0N6Whqj02Ud7VdUqtc7ddgTN+9Sbi72HOtv3YqJ1OahPhLbcc18Dk85CUMcX2yB4RCPtRq08/9heaLUGgVqGq5jAkDxvrknoT4i8tgbOLEiZg4caLFseeee87h+Y8++qjd4/n5+Vi5cqXNcZFIhFdeecVVM0gfodEZRnH4juqMdf/fepbOEKriDGMAACAASURBVIyZ3mOe4M7WHVM7GCFiK164inu0Oj3KqpowND3OrQT63lBpdLjR1On0nDlTsvDpN1eMz9lg1Drp/2SlFINTaWSABJZOr0O0MBpPjl7ok+tbT1+dbCjDu+e3Q671LGWFkGBCRV+JX7HV8F2NjFlPU+r1lqNI5oNc0WLDaJajaUq2jpirUahj5Y3428c/4J1/n3d6njf8c3+ly3N+NjkLC2blGp+zQZh1bbHPS2u92zhCemjv5S8gU7aA78f8rSiBIU+yU0PBGAl9FIwRv2KnEh1W4O/+v3UhVutpSvPAip2mdFRp39E05UsPj7d4XnPTUGS1rFrmrAteUdVd0PXZ+aOdnmeeU2YehMVJhPZON9LrmYAVsyXhRc/ose/q1wAAPtd/2x1HCQyr8LsoGCN9AAVjxK9cj4wZ/s/GEWqNDi0dKuisR8bM9kESCQ1/jTtKZNc7GBnLSbOc2mO3HfJHTXu9Xo/46AiMyHa+ctjRaN6Kx27B+qemIDk+svt6loHXuo/LsHzLMQrIiM/p9KY/gvwbjBm+9/01MqbWadCs9P42ZCcbyrC/5qDXr0tCi/9+cgiBKWfM9TQlg+Z2pbEKvYDPhSTSlFw/IS8J35+/CQAQR/Ah4HMdjozVNRqWw7tK4DduRu6HaEyvZ1y2B7DND2OxOW394iLR0KKATq/HqYsyjOVyseOLSpy73AzAsBVUlB8XJZDwo2VMP3davf82sGdHxo43nMYjwx/0+f1Wn3gTNzpvYlz/UVg04mGvXffd89sBALdnTAWXQ+Mj4YqCMeJXPRkZ+/hQtcX7zAOTsUOSsGzBeLTJ1UhOEEPI5zrMGbtwtcXi2o6wI2MMA5y+JMWYnH4+2/tRzwACnutru7o/v/trcqW+AyWfnoPws3KoNaYPx/ZONQVjxKfMR8b8GUwIuabva61e6/NRuRudhj/+TjX+gEU+uH6XVgGJwHa3GxIeKBgjfqVlgzGHOWOmjcLlSo3Fa9ZTduYrCAV8rt1pSvNpOlczdhqzYO7NXWcBAEUPjUVuRrzzN3pAp2cQIXAdjDW2Kpy+zq5KbWg2TNWoNTqk95cYRwNVGip7QXxLy5hGw7w5YuSK+R8qap3Gr1Okap0aQp7zvE136BnT75wuDQVj4YzGRIlfuZ6mNPyfAWNTqsLRlB0ACPk8u9OUbZ2m4rAaOyNnL/3SlMTfqdDYvL7/eJ3De/aG9epQRybm90dkBA+/u3ek3dd5PLYIrqntjS2mAO7jQ9VYuOoAjnZP6RLibezIWEpUMpLFSX699/j+hgUwar3vKv/bo9CqvHIducZU3safU7wk+NDIGPErNiDiu6rAb2caz2kwJuBCbieYMg9M7BWFzRkYi4dnDsU/91+0+34OhwOtTo8TlY2YkNvfYX00d+kZBh8drIJcoUGcJMLl+cnxYrz1zFSHr7Ptae0wfTiYj4axU7Tv7avALcMHeNpsQhxic8ayYjL9fm8R3/Az5MttmOzRm+XJ7bvyFY7Wn/DoOk3KZuNjHWP5+4lhGDR2ytCqDK/VopwuDVqUzmswehuXw0VsRIxf72mNgjHiV/Uywy8WR9OUXNPQGLJTY3H+qmn1krORJD6PC63OduTr0rVW4+OctDi772WDPJ3edh6TA+Ddz8px9EIDOn+iReH4NIdtcEe9rAtfHDOMtskVvf8Aie0ueHuluyyHw/NclMIgxFPq7kBIwPN/biI7NXm68SxmDZrhs/tYB3taszy5Ew1nIFO29PrD3Hpk7Kvaw/i0+r+9uiZx331D7saM9CkBuz8FY8SvPjlyGYDrAqx6hrGZVnQ2MsbjcuwGU7sOG+43ZVSKw6lRp23hAEcvNACwnPL0lNJsX8lWee+vx+4+UH3deTAWHy3q9b0IsUeuNoxiRAv8v6cwm2P6n8ufY0hcNgbHDfLJfb60Kj1hPoql0WsRGxGDFZOX9fi6ekaPN068hZqOOih1llOfx26eMj4uSB7X42uHKpGID6XSv1O2PA4XufE5fr2nNQrGSEDYy98CTCNjLR0qHK9otHjNfDskazwux6bWlrm0JMcfFM4S+82v6Y2aXY5WfHrK0bRpRn8JaruT+AGgTe6dHBdCrHVoDN9n0UL/J5+br95sUsh8EowxDGMsasvSMTroGT0YhoFWr0EEz3XKgT1cDheD4wahpqMOG85sxlszXrd73iPDH/Do+qHIeturcEHBGAkIZ4ETAJtADAAiBI6DMS6XAwbdm2+brbLKy4hDRW0rpo5JdfhehcrxX2Hm1+ro6v1IlqMg1FOORvtmTcrAO/+5AMAQqLZ6YVSPEHNydSci+SJ0qNlgLHAjYwAgVTT55B7WuVyAYQqRHbmK5Ecaa555wrxobV3HdaRHDwQAtKvDLyAJZ7SakgREbob9/C1nZbXioh3/9clOYZoHeVXX2lBR2woOx3HQYv0ewFTRHwBOXZIaH8sVvR86N19EwOZ79Yajqdv+8WLj46zUGKjUOqdBJyE90aJsRdG3r+GPR1ejTWWYIg9IMGb2C2Pf1a9xQ+79VcM6s/ITPI7hd4P5FKJCq4CA63m+nHl5i+Lj642PU6KSAQBJkc536SB9AwVjxK+iRHzEiAXISI62+7qzIqfxToIxbvcUpk5nCqxW/vMkAMM0pLPrWueamQc45jOTai/U7GKnKbNSYvDbufbLVfREq53pRy6Hg6wU09d3QILY4bmEeKJJYVgF2KRsxtd1RwAA0QL7P9O+xLHaLuNml+2Iem+ZF7W1N0oGAP17UdKjYIApH4yB6RdOVqxhdeov8uZ5fG0SOigYI37FMKakc3ucpfXHOykF4WxFpPk2SvZYj4zxHORheWOKkb1G4fiBNntjeqKzO9GVz+NiaLphtDE7NQYcDgd/+/1tKH7iVtzsXsG6+5srvb4fIYD9P24CkTNm3Q5hL0aoHDEPwEb2y7d7zt3Zd3h8/eGJuVg88lcAgCFx2ab7dgeBwgCsUiX+R8EY8Ss947zYqdBJXphb05R2kuxTEsU2x8xFWwWHjqb+KutaXea6ucKOrgn5PBdnumfyCEPtsEd+mouE7q9PS4cSABAtFiIpLhLZqYYl99fMEvoJ6Q2NzrImn4DL9ziJvTe4Vn++mVfh79J04b9Xvuz1RuLmwVhhuv2af70NRIclDAUAtKrajMfY+m3s1Cjp2yiBn/iVqw2ynY1iOdtjketkZMxRfhpryqgUdCk1iIoUICVBjM17Lzg899wVGUYN7uf0es642oGgpwYmSfDuUkN9payUGPxwWYYFs/Iszpk+diD2H69DzsDej8SR0KTWafDu+e240laD+Ijefx/UyW9YPI8SRPlsH1dnnN3z8LXv8NmVL3G2qRxFBb/3+B46veFnNi9+CAQ8+x+Zvd2KiX2/VCHDBVklhiXmGgNef27zRAKH/pWJX+kZxmm9MFGE429JZ9Xv7SXwR4n46FRqcc9tWU7bxOdxMfvWQcbnsnZDbtWkYcm40dRp3OcRAC7WtfUuGNN4Nxgzl5IYhQ9XzLZZFh7VHeB2Km13GCDh4djNkzjbZPgjQ6FVQuDlD3jzER1/ss4ZMx/F6tQaRsRqO65Bp9eBx/VshIm9ZrwoziJRPy9+CCpaLgHo/Qbp5kHlpdbLGJaYaywZEhOAhRHE/ygYI37DMAy0OgYcJ8GY9ahZbJTQWGzVSZkx08iYWRV+oYAHsYjvtD6ZMzkDY/HY3cOgUutQeqEB//ii0m6V/55gE/i9NU3pDnF3gNvp50KKJHiYBwt3DJqB2Vk/6dX19IwepxrKsPXCv3rbtF6xDoLYMhuAZcrCrqq9iPRwGpXdWYDH4SJRlGA8LuL7ppCykCvA2aYLONt0AVwOF5H8SJ/chwQXCsaI33x98hoA4LrU/dwlntn+lNZ/BZszBmNmv4DVGh3EEZ7nsWQmR4PL4SAygm+c4jNfrekJdjNzX4yMOcLlGvrQRcFY2DKf6uJ7IQeJy+FiwoCxEAvEeKtsS0D2pQQAPSx/Ht8v34lbUiYYXjMrGXH42v96fa8IXgRE/Ahkx2biclsNOjWd+NOPXoRa550R5/lD52DnxU+hZXR4+4f3ABj6EIjpX+J/FIwRv9nxlWFIX6Fyv0QE32xUy9nvJL7VNOWluhZ0KrXoF+f5X5UxZvs5skGhVm87MvbduXp88HUVHrx9CG51sRm3lh0Zc7JQwRcEPE6vR/VI6JJrTBsvezpdZ8+wxFwsmfA7JPeitENvWC8kMKe3KkPxzLgne3z9G/Kb+PDibgBAXPfek5fbagAYphMTRPE9vqYjGdGGfW/NS2l489+KBDcKxohfeDoq0y9OBJGQh9pGudPVlNYJ/M+uM9Q+crQhuTvMi7+y5S7MA5p9R2swMEmCzXvLAQBV19uQliTB9SY5bhlmCMqOlTfgzKUmPFA4BDFRQuM0pT9Hxtj26+wEkiQ83OxsMD62XoHYW4NiMrx6vZ7Q6G2DsQ61HNFCiUWxVgDIiXOeO2pPsjjJGIzFemHhgzP87sBLy5h+Vw6QBCbIJf5HwRjxi6Y2hfHxawsnOj03MoJnHD1bNHsYJJF8tHWqESN2XJ+MDcb++30NHigcYjzem9pgEQJTMMa3CvaUai0+OlRtcb5KrcMr7x4DAAwflIBosRB7vr2CelkXIoSG/LWWDsPiAH/mjAGON1In4aG+01QMtUurDGBLvMteMLbmZAm4XJ5FAHpb6iSPrm+eFxbbPTImEURBrunEzMzpHl3TEXYqWafXIVYYjTZ1BxZPeMir9yDBi4Ix4hdNbaYPgLQk5zV5CvL640hZPWIlQmPV/X6xzqcb2dWURy80WKzWlLX3/INnyqgUlFXLIDQbveIbR8YMAY29wMZ8u6EulRbRYiHa5IbFB4fPmEoBREbwERXp3x89Ho8LDW2HFJYYhkG9WWDCrtLrC9Q62+/pRjt7VKZFO96b1hnzVafi7kT6349djC+uHsAdmTM8uqYjbD0xrV6LtOiBaJNVICs+Ax0ttK9sOKBgjPhcR5caGz45CwD4zZwRLhNS2YCH34NVkOaFZG/ITEUe5YqeJ9f++s58MAxj0U4+z3K1pp3aslCqTbkequ7HOjsnjhqc6PEKT0/xuZQzFq7a1R1QaE0j0ypt39kWS2tnZMweZ4t/XPnd6EdR2VJl3CtyoCQFC0f8wuPrOWKaptRBq+/eWYPLB0DBWDigYIz43JbPyo2Pk9xIqGdHnfg893+Bmgc3V+rbjY8L8vq7fQ1z1gEjz2pkzF6lf/ORMTYws1fgNjfdeRFaX2CnKb8/dxOiCB7GDjHkonx44BLG5PRDbob3EpFJcGH3kRyTNBJyjRw/GzwrwC3yHpXevUClN8FYfuJQ5CcO9fj97uJxDB/HCq0Cap0GXA4XvF7WLyOhg/6lic9dl5pWciXEuC41ccsww1+gd0xyPzHYXiHZrJRoPHqX/b3keoq9vtbNkbGu7sDMXkk1V3tl+oIhgZ/Bpr0X8OYuwyjlJ0eq8cWxOhTvOO339hD/YfOq0iSpeGbck15dARho7CjfkLhsPD32cYfnJUYmOHwtWLAjY2ebynGlvQaxwhgqaxFGXI6MSaVSrFu3DhUVFdi1a5fFayUlJdi2bRtKS0uNxzZv3gy5XI729nZMnjwZhYWFAIDy8nJs374daWlpkMlkKCoqAp/Ph0qlQnFxMZKTk3H16lUsXrwYWVk9X/VCgpd53pZY5HowdnROP5Q8+2OIhO4P3Nrb7zI1MQoCLyXK86yKytrbo5KtIQYAiu7Voxo7U4OiCP8vVxfwOMayGqy939X4vR3E/9hgzNFWPqGMLYiaGJmA9O7SENYW5P8cufE5/myWR6z3oBwocV4mh/QtLkfGTp48icLCQjBWQwGlpaVob2+3OFZWVobS0lI8/fTTePHFF1FcXIz29nYwDIMlS5bgqaeewhNPPAEej4fduw3Lhbdt24aUlBQ8/vjjeOSRR7Bs2TIvdo8EG3dzpXoSiBmuaxuMOdtaqac4HA74PA603UGY9c8DYLlyU6XVgWEYu6s5ne2x6SsjByfC2VrKz0tr/dYW4l8aNv+I0/eCsQfz7sXUtMmYmzPbOLJkbVz/USExwmTd/sGxNCgRTlx+Ms6aNQtRUZar35qamvDZZ5/h4Ycftjh+8OBBjBkzBgAgEAiQnZ2N48ePo66uDkqlEklJhjyVcePG4fDhwwCAQ4cOYezYsQCA3NxcVFRUQC7vO6t9iH+0d9rmjkR6eQSKx+MaK/Dbm6bs6DIlE2u1euj0jN3zYqMcl+jwFXvFaM1z13YerPJnc4gfscn73t6PMhjERcRi/tB7IBFE2YwssdjtjIKddfuz4wYFpiEkIHr806nX67FmzRoUFRWho8NyQ+Lm5mZkZ2cbn0skEjQ3N0Mmk1kEdBKJBDKZDAAcviaRON8cNT5eDL6HU1BJSdEevS+UBUuffdUOvsD2e6FffJRX76dS61DT0IEDZTdstkXqHx+JxhbTirUIkRCxcWKLc5b+qgAajQ65g31byNFenyPEETbnaKz6INfokZXq28KWvhIs39/+5G6fvz5mKICs4ilC/uvkqv1cDtdiG6SF434esn0enmH4LA3V9vdGOPa5x8HY+fPnwefz8eGHH6KtrQ0qlQrvvPMOZs6ciYSEBHR2mpK15XI5EhISkJiYaHM8MTERAJy+5kxLS5fLc+xJSoqGVNrh+sQ+JJB9VmtMeVQjshJ81g6FnRIWOq3OJ/f7574Km2PWRVxvNnXg1Pl6i2OJYgESY337b+Ho37pLafn1qb/Zhss32hAtFhhH9P5zuBoP3j7E5r3Bjn6mnYvmS9AAKQYIUkL66+ROn3lWwViEVhyyfVa26RHTHyHbfk/15Z9nZ0Fmj1dTjhw5En/84x+xePFiPPjgg4iIiMDixYsxaNAgTJ8+HWfOnAEAaLVaVFdXo6CgAOnp6RCJRJBKpQCAU6dOYerUqQCAadOm4fRpw2quyspK5OXluRwVI6GDLfcwITcJz/58jM/uYy8fKlLo3WlKe1knIiEPry2cCOtUuH1Ha21WKQYybcU6Z2bjnvMADKU3po8daHhMa6v7pP6RhpHYUFhR2Fscq1IQvt7CyFfWT/tLSOS5Ee9xOTJ27Ngx7NmzB1KpFCUlJVi4cCFEIhFqamrwwQcfQKVSoaSkBI888ghGjx6NSZMmYc2aNWhra8PSpUsRE2PYQmL16tVYu3YtUlNTodPpMHfuXADAggULUFxcjJKSEtTW1mLFihW+7THxK7bcQ6QXk+nd5c0EfgCYPCoF3/5gOdo1aVgy0vtLnP7ijI+OwKT8ZONuAoFgvcDh5EXDH0ZtnWpMGzsQB09fh1ZL2yX1RexIUTjUrFLrLHNHY4ShNd21YvIy8Dl82iA8DLn8tJo4cSImTrTdSzAzMxNFRUUoKiqyOP7oo4/avU5+fj5Wrlxpc1wkEuGVV15xt70kxCjUhpGxQARjYi/fU2QnL40NwlqcbLs0Jqcf5s8I7NJ6e6U/AGDWpAxjcd1Tl6QYO7Qfhg3q+yMo4UTHGP4gcpTg3lflxQ9BjDC0ZlniQnQkj/Re3/9TiQQUu+G3yMtThjbsLFv09j3t1UhjB8Tauxxvy9Lswf6Y3uYoGLtnchYE3bsLtHSo8MYHZ/zZLOIH7MgYNwyCscyYdOPjRSMepqk+EjL63lpnElSUqsCNjHn7nvbqg9nb7sja5JEpXm2HJxy1UyDggs+nv8n6giZFM3Zd+o/FVJ1UIYNMadgOKRymKX+ZPx9/Lv0rANBUHwkpFIyRHrkmlaOpTYkxOf3cOp/NGfP1yJjdBH4vB2P2tjFyFYut+/1tiBH7v66YOyaPGAAuhwM+r+9/SIeDc03l+KHpvMPX/b05fSCwm3kDhjIXhIQKCsZIj/xhyzEAwMbnp0HgxoiKv3LGMpMNibrp/SWoazQUDfZ2ABgVadsHZyNjM8YNDNpADAB+Pduwb6eAgrE+gd32aPHIX2F4Yi4A4Gp7Hdae+juA8JimBICigt9D2tXUJ4vckr6LvluJR+QKjVurA9nSFj3d3qinfjw6FQkxIkSLBfjTthMA4PURH3vTlNXX27rvxYG2u4jqqMGJqG3owN0/GuTV+3vLcz8fA1EEzxhI8vmUV9MXsMGYiBcBfncgkhNn2lInXEaKMqLTkOFgn0pCglV4/HQSr7O3/ZA9/pqm5HI5GDU40af3ibIzTVl9w7A/a/ETPzIeGzukH9b87jbESgJXysKZ4VkJGGxWaT8cpq/CAbsHpfWG4D8fOhcFyWPBD5ORMUJCEY2MEY90dDkOxnT67rpGXC5aO1QAgFiJf6brHK0a9IYoO6sp500fDAAWo4R6ffDW67K3oTrpG9iRMb7V9NyP027Fj9NuDUSTCCFuomCMeKTdSTC25sMylNe0YNML0yDrLuuQ4KeCp74MNiLs1BnL6G8qKpmVEo0r9R1IjI30WRt6Y8PTPwaP5/rrc6OpE6n9olyeR4KHUqvEwbpvAQBCbmhsjE0IMaFgjHikvdOyrpZCpcWf/3ECtwwfgPKaFgCAWqNHc7sKsVFCCDzc1L2nxBG++yAyX7Cw/FcTcKOpE8MGxRuPPTN/DC7WtWJkdnAWTbVXJ82eTqXjmmkkOJVJTasoRXxRAFtCCPEEBWPEI9bTlO/tq0C9rAu7j1w2HtPo9GjuUCIj2X9bkkRG+C7oMy8gmRAjQlZKjMXrkkgBxg1N8tn9/cV603MS/KLNKs1H8oNzZJYQ4hhl7hKPdJhVnFdrdDhe0WhzTqdCA62O8Wt5Bw6Hg1/8ZCheeqTAp/fpa7lXi7rLXACA3s5uBiS4MWaV9miakpDQQ8EY6RE2BGGnsrQ6PZ7462G758oV3UvtfThaZU/h+DTcOjLVp/foa8HY5JEpmDUpA4DdnaVIkGO3PJqbM5u2ACIkBFEwRtym15v+/mZranUqtQ7P71R01xizk/ge6twpeBtq2M9whqKxkGPaf7LvfV8SEg4oZ4y4rUtlCry0OsMvf43GUEcsZ2AsuBzg4rU24zmtckNZC1EA9qX0ldefuBWtcnWf3EKILQJLsVjo0bHBGP19TUhIop9c4jY2ADN/fL2pEwCQGCtCapLE4vwb3a+lJIj91ELf6xcXiZy0WNcnhiB2ZIxyxkIPQyNjhIQ0+sklbjMvZspOU27/8iIAoPRCAyRWezeyU5i+3peSeAcH7MgYBWOhpEXZitKbpwA43yuVEBK86FOSuE1rFoxdk8rR0NJl3HsyPzPeZuquqzvJX9gHc8b6IlPOWGDbQXqm+Ph6dGjkAMJnM3BC+hoaGSNu05lNU2q0ery48SgGJBqmIJ+cM8JmI+3O7kAtQkDfZqHAlDNG0VgoYQMxA/q3IyQU0cgYcZvOzp6L1dfbkZcRB0mkAD8enYKahg4o1TqcqGhES/dWSCIhfZuFBDZnLLCtIL3QoZa7PokQEnRoyIK4Taez/1f30PQ4AICAz8PCO/OR3V2ZXtZuWE0piaQilKGAQyNjIa9V1R7oJhBCPEDBGHELwzD428dldl+zrrllvRm1REzBWCgw1rGlWCxkDU/MDXQTCCEeoGCMuEXapkSrXG33NYFV4r51In8EJfCHBHZkzM5sNAkRI/rluz6JEBJ0KBgjbmls6XL4Gt9qZMw6OCOhgSrwE0JIYNCnJnHLd+duAgB+eYftNIj1SFhWaoxf2kS8y1RnLMANIYSQMEPBGHFLa4chGX/ckH42r1kXdU1N7DsV98MJl0bGQo5aZ0odiOLTzx0hoYqCMeISwzC4Ju1E/7hIxEoibF4f2C/K4jmHw8GDtw/xV/OIl1DOWOipab9mfJwYGR/AlhBCeoOCMeJSp1ILuUKDVKugixVtZ7WkpLsALI9L27OECsoZCz2dWlMu54h+wwLYEkJIb7isximVSrFu3TpUVFRg165dAIBt27bh4sWLGDRoEE6dOoXFixdj7NixAIDNmzdDLpejvb0dkydPRmFhIQCgvLwc27dvR1paGmQyGYqKisDn86FSqVBcXIzk5GRcvXoVixcvRlZWlg+7THpKpdYBACIj7K+KtLf35MRh/XH1ZgemjE7xaduI9xjrjAW4HcR9crMirz8dVBjAlhBCesNlMHby5EkUFhaivLzceEytVmP58uUQiUT48ssvsX79emzduhVlZWUoLS3Fpk2boNFoMHv2bBQUFCA6OhpLlizB1q1bkZSUhFWrVmH37t2YN28etm3bhpSUFDz22GOorKzEsmXLsGPHDp92mvSMWmsIxgR8y2Dsj4smQijg2STwAwCPy6WpyhBDOWPBpaL5Et7+4T1o9Bq3zudyaKKDkFDl8qd31qxZiIqynJ567LHHIBKJAAA1NTUYPHgwAODgwYMYM2YMAEAgECA7OxvHjx9HXV0dlEolkpKSAADjxo3D4cOHAQCHDh0yjqrl5uaioqICcjlt6RFMNFrDBjlCqxIWcZII9I+LDESTiA8Yc8YoaSwo1LTXQaPXIDVqAHLisiz+y08agsGxgwLdREKIl3i8aaBUKsXGjRtRXl6ON998EwDQ3NyM7Oxs4zkSiQTNzc2QyWQWAZ1EIoFMJgMAh69JJBKn94+PF4PP96yYaFJStEfvC2We9rmpVYFXtx4HAMTGiCyuMyA5xu4UZbAIx39nwPN+x8QY/sCSRItC7msXau11h7DB8PvtsYkPYnj/oXbPmf/hkwCA8akj++TXwFo49NEa9Tk8ePxJmpSUhJdffhnff/89Fi9ejI8//hgJCQno7Ow0niOXy5GQkIDExESb44mJiQDg9DVnWpwUIXXe7mhIpR0evTdU9abP+4/VGh9r1FpIpR3gcTnQ6Rm0tXZCzg3OqZFw/HcGetfvTrmhfElbmyKkvnZ99d+6rcPwe1HeroaUY9k/6z4/MPj+Pvk1MNdX/52doT73Lc6CTI8+STdv3mx8nJaWhrq6OgDA9OnTcebMGQCAVqtFdXU1CgoKkJ6eDpFIAjD8XgAAIABJREFUBKlUCgA4deoUpk6dCgCYNm0aTp8+DQCorKxEXl6ey1Ex4j8xEqHxMbsH5ZrfTcafH50EXpAGYsQzXK7lNGVzuzKQzQlbekaP14+/iS9rDwEABFzXfzNH8IQuzyGEBC+XP+XHjh3Dnj17IJVKUVJSgoULF6K+vh6rVq1CfHw8KioqsGLFCgDA6NGjMWnSJKxZswZtbW1YunQpYmIM1dhXr16NtWvXIjU1FTqdDnPnzgUALFiwAMXFxSgpKUFtba3xWiQ4aLWm/CFh97RwtFiIaDH98u9rjMEYw+Drk9ew/cuLmDd9MGaMTUOEkPYX9ZfKlirUdNQZnzsLxmZmTseVthrwuPTvQ0gocxmMTZw4ERMnTrQ4tnz5cofnP/roo3aP5+fnY+XKlTbHRSIRXnnlFVfNIAHS0WWq8M2hkmF9Gtcsgf+L7unpjw5W4+Cp63j9yR8FsmlhZcOZzRbP+U6CsXsG/9TXzSGE+AHNMxGnLt9oNz6mVXZ9m2lkDJArTOUUmtpoujKQnAVjhJC+gYIx4lSb2cgY6dvYOmNqrQ7K7kK/xL+uttfaHKNgjJC+j4Ix4pROpzc+HpVju0k46TvYacrS8w0Bbkn4ut5Rb3NMwLXdbowQ0rfQn1zEKa2OgUjIwxu/mQyxiL5d+jJ2mlKl1bs4k/hKlEBsc4zPoeR8Qvo6GhkjTml1egj5XArEwgAbjIkE9OEfKDrGNhCmlZKE9H30CUvsOlHRiMgIPrQ6PXh29p4kfQ87TSkQ0L93oOjtBGOEkL6PfusSAMCNpk7sP15nXDFZ8uk5/PXDM9DqGPB5VNMiHLAJ/NruacppYwcGsDXhR63ToKL5EgBgzuA7A9waQog/UTBGAABbPivHB19fwh/ePQaGMZWwaOlQoUupDWDLiL+w05Sa7kUbAxLEGDwwBhwOLL4niG/svPgpjt48AYAq6hMSbigYIwCAK/WGemI3mjpResFyNV0nBWNhwRiMdY+M8bgciAQ8MIzpGPGdC7JK42MhBWOEhBUKxvqYExWNOHTmeq+uYR2MZQ5wvLkpCS0dajm6NArj88auJii0hudszphWZwrG4iQRAIDW7k3Eie8IeaYSFu7sR0kI6TvoJ76PKfn0HABg2hhDvk9zuxI1TV3I7Ge7ZN6RsmqZxfMnfjbcew0kAbX02z8CAN6a8Tout9XgryffQgRPiDVT/2wcGWNzxrhcDhJiRAAAWbsK/ePd/x4iPWc+GsalchaEhBUKxvoQtca2avpfPzyDelkXli0Yj8GpsR5dNyk+srdNI0Fo/emNAACVzrDLAjsyptEZ8sN4XA4SY7uDMdoSyefMi7tyORzcOeh2xIviA9giQoi/0DRlH9LYYpp+YhOu62VdAICKmhaPr8ulHcL7JI3elAv4/Y3jNjljXC4Hid0jY83tFIz5mtAsGNPoNJidPRM/Si0IYIsIIf5CwVgI61JqcKTsBvTdgZf5hs46q029rzd19vj608cNxM8mD+pVG0nw0OktR06zYzONj/9Z8ZGptEV3zpiQz0VCjCFnTEbBmM8JzHLGcuKzA9gSQoi/0TRlCFu7swzVN9rx3r4KvLt0hrEkAWD4QOVxTSNaer3j0gRXb7bbPf7Lmbnea2wf1KxsgUzh+YhjWnQKIvn+mwI2HwkDTNOTrKudVyye6/QMYqMMwVhbJ20Y72vmI2NxEZ6lFBBCQhMFYyGs+oZlEKWzCMYY6PTulaT443uG2kbiCD7u+tEg7DxY5b1G9lEavRZ/Lv2rTUDTU8+MexI5cVleapVzWrPvhyZFM67L69EvMhFNCsOCjeqOSwDijOfoGVPBX2fBPPEOKmdBSPiiYKwPMZ+a1Or0UJkl9LvzYZo5IBpJcZSs7w6NTgOVTo3+4n4Y3390j99/6Nr/oNAqsfbU3/HWjNd90EJbbWpT8P7aUcM9ZYpmPJh7L/5V+QlglRqo1zPgdQdj7PeWRquHgN/z7AadXo+GZgVSEsXgUA6iXXwqZ0FI2KKf/j7EOhjT6hi7rzkiEvKMH77EOT0Mo5ApUQNwV/YdPX7/zMzpeObwy95ullMyRbPxMbsHYlJkIgZ3j8ypdEqAowMYQ1mF3PR44+INvZ7BiYpGY+mU15+4Ff16ELh/deIaPjxQhfnTc3DHxHQKyOyi0UdCwhUFYyHK3vY05gHXd+duYvTgfsbn7oyMjcnpB52OPhDcwX79udbDSW4S8oRIiUpGu6rDm81yqknZbHPsV8MfMBYYPSM7A9E4HpQnf4K8jDhjWQsuhwMdw2D/8Trj+/647QTWPzXF7Xt/f+4mAGDnwSqIhLyA7nvZpVHgvKwi6Dbl/r7ekC6wbOKzAW4JIcTfKBgLUa1y21wl85yxT7+5AqXaNE2pc7C3IMMwkEQKIFdocNuoFDS2KCDkczFrUob3G92HsCtYezPCw+PwoGNsa8P5CpsbZi5dMhAdGrnxOYdnaI9EbMpf4vE4NkG6XKHp0b3N/1D4/vzNgAZj+2sO4svaQwG7vytiAaUKEBJuKBgLUV1K2w9DrZMPTI1Gjy6lFmKR5T95Y4sCcoUGBXn9weFwkJwgxtvPT/NJm/sSpnuaksvxvDqMv4Oxhk6pxfN0SSp4XJ7dXKUos+8TLpfT6wR+85g1JiqwieqtqjYAwL05d/l1NasrZ5suIF4Ui1hhTKCbQgjxMwrGQpS9z0brVZDf/lBvfFxZ14rfrTuCtf93G2LNPgwvXTN8MA1NjwNxHzvFxelFqT4uhwudH6fKOrVdFs+fGf8bAJaV31niCNOvBh6HA6VaCwHf8y16zL9fYwMcjLFfh9sG3oKIIFrBSAVeCQlfFIyFKPORin7duT3uaGpVWHwYNrUZqvanJNK+g+6Qazqxs/JT44hYb3Yn4HG50DN6MAxjM92p1qlxtb3WOB3qrpt6MVpbu+y+VtdxHRE8IX49/CFE8iONgQjfzj6IIqHpmJ5h0GC2uwMAJCe4//2i1zO4YVZ0ODIisL92ujQK8Dk8i7pehBASSBSMhZCvTtTheEUjljw41uJDmk0mT4iJQHO7yuk1rFdLslOZ0eLgGSEIZj9Iz+NkY5nxeW9yxnR6w6jYD03nMTpphMVru6v+iyPXv/P42o6odGqM7DfM4hiPaxuMCQWmY+a5h6ycVPen0m42WwaH7qzs9aYTN0/j67ojeGrsExDxI9CibEGkIJJWdBJCggYFYyFkx1eXAABnq2WIkZiCJ52ewXv7ytHcrgKPy0HmgGhc7i4Im58Zj4YWhXFvQbXGclqso4sNxmiUwB1qvWWuHrcX05RX2msAAO+c/YdNrTE2r+mOzBnG1Y7uEEdFoKvTNiBnwOBEQxnGWgV99ukRYRaMcTkcmxG6/527Ca2eweM/G+7yaiqrDew1Gv+uYtx64V8AgPLmi0gQxaFN7b8VrIQQ4g4KxkLQm5+cxUsPjzc+1+oYHCkz5If1j4/EL34yFH/aZlgm/9wDY7D2ox9MwZjW8oOR3eZGEknBmDus93f01eiKrLsMxZ1Zt/eoGGhSUjSkUvvBxp1ZP3HrGtzoFggFpiBTJOShS2W7m0PphQYsuCPX5bQjuxIzLyMOFbWt+PrUNdw/fbBFwOcPfC4PR+tP+vWehBDiDtooPESZj1R0mq2s5HE5FivXuBwO1GYjE1v2lkNlNu1U1yhH/7hI8Hn0reAO62CsN6spHTnbdAHX5Ybgmmcnn8vXGB3fIlDiOykEXHW9zeX12I3H46MjjMeOlTf0ooWeqe243qNRRkII8ReXv5mkUinWrVuHiooK7Nq1CwCwcuVKREZGQiwWo6KiAi+99BKSkpIAAJs3b4ZcLkd7ezsmT56MwsJCAEB5eTm2b9+OtLQ0yGQyFBUVgc/nQ6VSobi4GMnJybh69SoWL16MrCz/7NUXyswT+M1nkFQaHTKSozFj3EAU5PUHAGSlxuJSXSsAw0jYt2frUTg+DXqGgUKlRUZ/iV/bHsq0jOUIUW8S+J8c9Wv8/YetNqsZ/3ej1PjYX3lN2bGDcLntavdNLXPGnOV4sSOuzrDBmEho+nXTpfx/9s47vK3y7P/foy3Z8pAtj9hObGc4e0+yCdBQoMz0payyE2iBEAiE8ra8lEIJtIwCgZbdFn6UshKgjAJJCCEkIXvZmR4ZnrIty9bW+f1x9Bydc3S05SH7+VxXrkiPjs6Qz7ife3zv6PqmRsMnVV/hP5XrZT/zCVTt/3Piv7h02AUAovcSUigUSk8QcVq/Y8cOLFq0SKT4rtfrcffdd2Pp0qUYNWoUXnrpJQDAnj17sHXrVixfvhwPPPAAVq9eDavVCpZlsXLlStx1111YtmwZlEolPvzwQwDAm2++icLCQixduhTXX389HnzwwW461NSHVEGWFhhDVtkZdGooGAbXnFeBisHZAICbfjYGo0uz+WXS9Cp4vD788Z9cyEZYOUfhaHda8cGRT9DpliafS8KUcSrwA8DY3FEozRgMViJv4fCEL8LoDpZPWoqzS4iiPivyjAn168aWm0Tfc3ki53+R7wvPM483eXljm2t/RLPDAg/rDfpncbSKlv3w6KcAgNIMKmpMoVD6DhE9Y4sXL8bWrVtFY3fffTf/mmVZGAxcmfv69esxceJEAIBarUZ5eTm2b9+O4cOHw+Fw8N6zyZMnY926dViyZAk2bNiAFSu49h8VFRWorKyEzWZDejr11kghHgofy6IlhEeiODctaMygU2PScDMOVnMPJgYMLB1OHDvFJfnrdTR0I+WtyvdwoKUSTp8Lv6i4jB/3sMkNU3LCrz60OtqwvWEXzi6Z2yttepQKpSgkKswZI1WfAHDD+aNQ39KJf31zFLWNNniiMMZIAr/QGEtW2y2LoxXHLDVQMAo8Ojt4IufwOHHPt78NGld2Q3iZQqFQ4iWhp7DVasV3332H5557DgBgsVhQXl7Of56eng6LxYKWlhakpaWJxltauNYsoT6LZIxlZxugilOE0mw2xvW93obIUFisTrz+n0oAnGaTXZBcvfTyCcjOCNYdGzU0F/jvYQCAIU2DdGNgmeGDTSn7m4QjkWOyurlcKCfsMJuNaHdY4fZ54FGK21BtOLkZy866Ku7t6LUasGDx4r7XcKqjHvnZJihUnLftj+eugtkU+zHEe9xpZ7icLoZhMX5kAe8dE3rG8vOMGFGei6xsAx588XuoNaqw2ztc24q/rjvAfTc3cE1rdOqknHO/+td9ADgRXvn1GfGHRSvxv18/KRrNyTam/Dmf6vsfD/SYBwYD8ZjjNsY6Ojrw8MMP47HHHkNWFqfebjKZ0NkZEHe02WwwmUzIyckJGs/JyQGAsJ+Fo7VVXtgyEuGqzfoyZ1oEv5GgzZHQEHvk5hnwON1oahLLL5jNRgzK0mHxjMH4fGstWtvseOKbI/znxTn6lPxNwpHo39ntD6O5XV58sncD/n7oX7LLmbRZCW3H45d5ONXBNdJubG1Fa5cVmRojMrymmNedyHE7ugLnjTWEcGxbaydcdhc6bVwotdVqD7u9zzef4F83WQLncN2ZdlQebeKbkSeDUPth6wju49phdaKJSd1zPlXvY4lAj3lg0J+POZyRGZev3mKx4OGHH8Z9992HkpISfPHFFwCAhQsXYvfu3QAAj8eDY8eOYdq0aSgpKYFOp0NTE9cbb+fOnZg/fz4AYMGCBdi1axcAoKqqCiNHjqQhShke+0fkkvz87PB99obkcyeC1+tDbQPXHLqs0IjhxbQVkpT6Tq7ajwGDT0/8FwAw2lQRtFyiieDCJt0A0OWxo9ne0itaWHyxABM6hEiW0ai4W4c7QphSWEE5ckg2Sgu4c3DLgQasfPF7US5qrEQbzk1TB3cLkOs6QKFQKL1FRGNs27ZtWLt2LZqamrBmzRo4HA7cdNNNqKqqwr333otrr72WT8afMGECZsyYgaeeegqPPPIIVq1ahYyMDDAMgyeffBJPP/00nn/+eXi9Xlx66aUAgOuuuw6nT5/GmjVr8Prrr+PRRx/t3iNOQdweHzpDVJ8J08cjyVMoFdzSwrDTtJH5Ce9ff8bH+tDisGC0qQLLxl/Pj19ZcRmGZZVhgjmy6Gk4WuwW0ftjbdUJrS8RAsUI8gZSZrqG1xRTR2mMOVzceXvetBIMHZSJO68YL/rc2hXc8D5aPL7oKjJNumzcOOYqaNnArJShOWMUCqUPETFMOX36dEyfPl00RowvOW6++WbZ8VGjRuGxxx4LGtfpdHjooYci7caARk5wk3D7pWPxwof7o1oPMdb+39eBEOWc8YWJ7Vw/xaDSo8tjx5G24wCANHWaqG3Q+NwxmFs0M+HtOLziyslmezMATmqip+GLEUIUiF44q5R/Ha0xRsK9U/0yK1npWtHn3gSqKqXdEMIxJX8iPty7BU4l53FkfLRohUKh9B3o9DAF6HLIP3R+cc5wlA/KjHo9WUZx/8mKkiyqvB+CLC33u3Z5uAbZWqX4d1LJ9HOMh1vGXit6T8KTi0sXJWX9sUBCkBedNUQ0PrSI60M5SNBMXu0vnokkbUGqJolXFhCLyMbaCF2I2xu4Lq6suDTyF3yC252XGmMUCqXvQI2xFCCU96HL4YFeG71RMDhPnDxY5ReCpQQj9bpolWKPTrKU8SfmjcNzCx/H1PyJovHSjJKkrD8WSJhyeInYwF++ZAJW/HwCRpUGNMZIzlgkaQsixyI0xoRCuT6JoKzF6sDf1h3AgWpx+FYO4lU8b+g8zC2aFXF5sIHtsl6aM0aJjhNnrFi/82Rv7waln0ONsRQglAI6y7Ix9fdTKHpGzb0/4JQIrxo1XFHJoLQCAIBGmTyPooJR4PrRv8B5QxbyY3JJ590N8YyxkpyxNJ0aY8vFFc6B/MMojTFBPqPwPJSe2v/88jB+ONiAr7bXRdzfuo5TAAC9OnxFptfnw6q/bkFjSyDcz/rorY8SHY+8+SP+8eVh1Fu4CuPqeiue/feepHaRoFCorz4FIA88c5YOTW0BsVeW5R6gt1w0Gjky2mJypOlUfDHAJXNo2yk52pzt6HDbkKvPQbOd08Mry+RCd/dNvQMe1pv0npQMw/SKN0y0D37PWDQVjgHDLRivzwelgvt9SE6YKoRnTDrRICF5u0ssrivF4mjFmwffARDZGDvd3IXGVjuUmsBy4Vo8USgEYV/ftg4nCkwG/Pmd3eh0ePDPL6tw688SK+ChUAh0epgCkLybWWMKROPkcTJrTAFGlEQnT/GrS8fxrycMy03K/vU3jrZySftzi2bi8Tm/w01jr8GwLM5wVSvV0KuSp40lxKzn/h5DeyF5HwgYWNFIRhB7Smq47T/eglue2IAdVZyMjWyYUhE6TEne2sMUrQDAaVs9/9qgDi/pwnvvfN3TjonSfxFWsTe3O0RjPxzs+Wb3lP4LNcZSAGGoZ9aYgBTF8OLok/cJwgbQQwoGnspxNFRbuRBZeWYpjJp0TM4bH+EbyWFQegF+M/1u3D7hxh7ZnhTi7ZOGKeWXJV408fgX/vDiZ1trAAAt/gdYyDClwBhze7w4eorrfNBgCS/q3O6y8q8jGcc/VjUCABhl4MGarHZMlP6NtTMgGNzczhXz5PqFitN0Krg9XpH3jEKJFxqmTAEO1nDJzCoF1wB88og85Jv0KJLpQxmJaB60Ax2bvzl4ljajx7ddlN57UiOxhSkhuywJS7IsC5+P5YtExAn8geWffW8PfnPtFORm6nH0ZDs/7vL44GNZUUhTSF3Haf51uDBlY2sXPvuhFgDgs3HeY09jMTxlyfGMudxe0QSH0r+obQiIL1u73HB7vLyHbHhxFu57cQvaO114bdXZvbWL/Zqa+g4Myk3jpXT6M9QYSwHIw8Tp9kKvVWFKhTnudSWgJNDv2Nm4Fx8c+QQ+SfNvIi/RXeHIvgofpozCYA+ENMXjRFfsxJkOWLsCXgXhzVRomLXZXPj9Gz/iL3fNhU4rvh25PT7ZApXTtnpsOrWFfx/OGBPmWPps2SixXIjDNS64JydujO083ITnP9iHO68Yj4k05N8vqRYYYx6vD/UWO/++qq5NFE7fvO8MfjjYgLuuGB9RgJsSmYPVFvzpnd2YMTofSwdAbh49Y1IIlzsJs3lqjPFUWg6j1dkGpUIFrVLL/yNI5Sz6O4oYPGMA5x2TLutwBgzbb3cHvFcatULwPbG3i/RalTrBQoV/qq214v0OU0zRZgtUxWalazC6sARgFXjug30hvxMtH3zL5RZu3HUq4XVR+ia19QFj7Lu9Z0TnpNAQ83h9ePXTQzhwwsK3mhsoSPM+k0WN3xDe6s/N232kGU+8vZPv6iHkh4P1vBczkRZrvQn1jPVxhKKY588cnPD6aJgyALlo75h4C/IMAc+G3eOA0+tMesVkXyeUtEUoFAwT5GntFAgU7zrazL8m1ZXcduTX55HkcYWafKgU4tuWQa0HQuT7k5ASAPxy8UjsPd4StIzN7oZWrYw6FOL2ePHqp4dwuplrfC716FH6D9YuF5QKhs/bPX7aKrucQ1D965QxFvorO6qa8MKH+/DANZOT3uNY6F384Nvj+OT7agBAVW2bqPisuc2Ov607CABYeeVEPPnObtxy4WhMH50nuu/0dehdpI9z4ASXL1ZWmAGjQRNh6ciYjFxIZ1Ac+Wb9DRKOk+Yl6VW6AReiBACF31EebQNuOc+YsPqspl6+2bkwdEjYsr8epgwtFFkNUJq4Ssl3j53ie2EK2d6wCwBwUflPYNbnoiy7BE1N8tvadbiJf+3zsSjJSxd93uVw485nN2FsuQkrfj5R+nX5dR5pxrZDjfx7FdXv67d4vCx0GiV/XgtbyQkhhgIAtHe5sP94C5raHZg/YVC/1nckx/3x5mqs+J/orp9o0WsC177w9+2Q9LMlRT8AsHYzt9zLnxxEi9WBC88qTeo+dSfUGOvjtHVwYZZJw5OTk5KTqcPvb5yOnMyBZ2xIIYYEE6oZ4wCDeAKjN8aYoJwxOcmIUJ4wIS9/ws1s9dN38WP7286E/Y5Zn4Mp+RNCft7cbkdtYyBkVJBjwMThufj751V8Llq132Dcfzyy4j9B2hGjPz9sBzpujw86jUo0yZCjqjbQzaStw4VXPzkEr4+FVq3AWWP7b/9fEkp0RNAFjIdQrdIsHeLJnPAaF1Zhf/pDDTXGKMnD4c9RKDAlT5G9WOIdGKiQcJw0h2mgIjTGXF43fjizHbMGTYdaIX+bkPOMjRqSjYPVraKxZRePFb2/fH453t94PHh92sCN1L5rAQDg9zdNR5pOvH2H14mq1qOYaB6HcPz2lW386yeWzUJuFqdHVpKXzssU/HAgNq2oMy2d+PeGY6KxTXvPYPGMwSjMod7m/obH60NmenBE4rxpJfhyex1GFGfiZFMnfz4BQF2jjQ9rnmkJL9HSX7AnMTTLsixe+eQgvt9fLxpXqxRwe3ywWMXGmFOQx9cukCIpTrHoT+oEVAco5GGh09Dy+URhWRYHWqqw8eT3aHdaqWdMgtAYe7vyPfzr8Ee4e8ODONx6VHZ5RiZnjPSqzEwLPMAMklBjqG4RjFrQgsqtA9w6uO0aZOuyRP8K0/KxoHg2lBGatQtv0sQQAzh9KLvTC4/Xh+/2cd63aNqKebw+PPjyVpH2FOGVTw5F/D4ltejocsHh8kKjCj435k4YhNdWnY1V10yBRq0Qec5ILiG3DnfQd/sLwnZQTW32MEvGxpG6tiBDDAh4pFusTtlxKZG6ePQ1qDHWh+nocuHEGS5h1JwdXmWcEpm3K9/Dmj2v4t3DH+E3m/8At49U8VFjDAjkzvlYH6r8BhgLFs/u+luI5YM9Y043J0chzPWSemJNIYyxZPaLDFdRRUKrFqsDGX6jsdgceRYtFYp94rZAc3JynQJcQUCofDlK6vCHv/8IgPvb/v7G6aLPVMrAPUOqM1cjkMMglcL9kXpBSNDl9omKdxKhoyt4siPkwAkLHnptG258/BtU1bbiu73y6Qyp9ttTY6wPQ0QwfzK9BPnZPd84uj/h9rrx/ZntojFicDD0MgAAKBjuoeJlfbC6IhsTDIJzxhxuL7QaJQbnBwwwqVe3JC8dRblpuPrcEZIVcisblzua7y7hiNAWKRThek8e9gvRfvDtcV6kllRybth9Crc8sV4UdiIIc1gevWUGcjPFE6ROhxtvfl6JO5/dhIff2M732aSkJsJCE+mEQi2o9AvlmQHE0ir9jXpLp+j97iPNIZaMDamkzdCiYPHtOn+e2PvfBqc7AECGQQ1rpwv/3iDv1e+L0KdQH4bMsMaUmXp5T1KfNXtfDxoj3pNQKu8DDRKmrGqVrxiTwjDBMhhOlwc6tRLDigKtupSSBHe9VoVHbp6BRVOKJevj1jUorQAT/QUrzjAPunAIb+h/uHmG6LNFk7ntmjJ0fHjJ6+O28/fPq+D1sbjvxS3YdkicT0aMsUnDc2Xzwz7fWouNAm21/hyi6u8ItbOkOYsAoBLIoJw7tSTkemrqO7pNh6u3OdkkNsZe/TQ5oXqnQNIm26jFsp+NDbmssGsHYVhxJh+iJILpqQA1xvowdr+AplGfuKTFQKXN2Y71dd/J5j05vNysleaMcRCjtL6zMcKSHHI5Y06/Z6x8UGhjLOT60tr9yyt5jSFPnMYYuaHPGJ0fJOMyYXgOAM54Ipxs6uT7aRJeWntA9J5420JVT366Rfz9SBV4lL6L0Auq0wQbY+l6Nf/6vOkBY8xoUIuW8/pYnGzqnyKwLe3BEjWJUtvQgef+Faio/vVl42CQMYbD8YtFw0XqA6GqMvsa1Bjrwzjd3M2cJu/Hz2cnvsJ7R9aFXYbmjHGQMKUuys4DNrtblKzMsiwcLi+0aqXoBhrt76sZUgkAUDFKPgwkJ5URDS4PN5HRyAi5ymmXAcC/1x+THSewvtg8qaeau/8h/O8NR/H4Wzu7fTsDDWHO4YgSbmJBGoSX5KWLzgHh6ysXDedfk7Z1oXKaUh3ifX7wuikAgHHlOQmv8/9e3w674IeIAAAgAElEQVSXfwJ2x2XjUFaYAa3g+VdRkiXrqSw2p+PpX8/Ga6vORllhBm746Sj+sx8O1OOltftFBQd9ESpt0Yfp8nvGaCPi+Gl3yStmC6GeMQ7yUFEr1RGWFGOzu5GuV2P30WawLBfyUyfQm0/oGQuXjxMOot4vd+1IqzvDYbE6+IIDEm2KpCuWl6VHY5sdh2paMXf8oKi3FQ8kDOP2+AZEM+Wewic47X65eCQA4OEbp6O1wxlWMFsoQXT5/KHYUdWErjjzHvs6Da1cXuWQfCP0WhVarIl5yqQerHz/byk0dseUmZCTqQuqtjzZZENmuqCVneC6J5XOGQYNrpLmqfYh6NXbRzlxxoofK7lwkdT1TYmOfc0Hsa+ZuxBvGXstPy5sfQRQzxhB6c8Zc/u4h8d5QxZG9T1S1v7c+1y/xxNnOkQ5NdERuBGPyxnFGxbOEP0pI0G+J+yJSZB6xkYNyQ65nnvXfM/PqH28Zyz8tocUGJGRphEJgXY3Qg8lJXGIYTB+aA5v0Ou1qpCG2NhyLq/XnKXHo7fMwFO/ns17ZaVGhrXLlVQpiN7AYnXw1ZQqpQJ2pwenmzvx+FvyvSOjgQicE8xZwQoCE4blYsoIzuNI/g/F2ZOLRO/3nYhe2Lk3oMZYH4XcyEcOzhL16KJEz0t73+BfC5t+/2rCzaLlqGeMg4QpiTGWoTFiWFYZgPCq/C3tDlH+CANE7Rn71aVjUWRO4yspDV4z8tPy+HP+7a+OiFqhRMuZFs44kfOCZaZpRDk/P184LOy66hq5QhryUBV6xi6bVx60PMMAg3IMaO1wwu3pPq0jYSjt4Te2h1mSEivkp402JH3HZePxzJ1zkK5XozAnDVnpWn6SJ03gX/6X7/Cbv/2Q1P3taUIZk4fr2vDf7XVxrZN42s6ZNhi/v3G6yNP7/PJ5eOSm6SjJS8ekEWbce+VE3HjBqLDX7sLJ4gKh5j5uANOnfB/lw01cye6500JX6lCioyAtXyQQmqUVl0rTakoO8jt4vFwVoJJRwKDiQgVdntA3sqY2O36sCiT9mzK0UYfMplTk4Y7Lx4N4xpTgjKTivIAH4oMQ5evhIBpDcp4MhmFE4aQhBcagZdL1asweVwAgUBXpk8kZu/CsUrx6/0Isnj6YH6usaeX1y5b+aWNQVWayaGzt2w+XVMXp8uIRv8ZYtLcGtUqBDEnvYGK0C20xYtB7fWzcXt++AAm9EgmaC2YN4T9TKBh0OTzYtOd0TJWkja2cp21MeU6QlIhBp0KROTA2utQEvVaFxTMGY8mCoVh5ZXBfTOlErK/nXlNjrI9CTpzBecEPCkpsVGQPRYaG+x0ZMFApVKIkdeoZ41DwYUpijCmRo+dCeC320C7+pja76Man06igVilwwawhuPWi0RG3q1YqeM9YWwe37UR19dz+nLFQyvrmLLHwrLArwOC8dDx47RQ+IZm0WJHzjAGccSfsgfezOWWiXLW/rTsY51GEp1lSzRZO6JYSoK7Rhvtf+h5HTsqHkdd8tJ/vcZjIRI1UEbMCg8QuyB+zpbD0Cdl3khM5JD/wnErTqfHWfw/j9c8q8emW6qjXSSYXhTG2MTp/5hCMKg2WfxIWEQ0pMMLh8uLVTw7yOoM+lu1TsiM0gb+PMjjfiAMnLMhIo/licri9bmw4uRl2T+CBNDijGBPNAU0ajUINl8+NS4ZeAI1SjetH/wJDMjhPo1apCUhbUM8YAKEx5uHf5+o4g6TZ3sL/doQpFWbsqGpCi9WJwQWBmxrJybp8/tCotqtWBYwxjTI5s1enJ3zxS1lhBrYcaED5IM5Lev/Vk3CqqRO5WXrkZemgVilh8eewkPZHcp4xgjA37ezJxXjz80r+fXeV1kuFab/acTKs5hWFY9uhBjS1OfDHf+7EM3fOCfJo7Tvewr9O5NZAbHbh318od2Kzu5GTKd+Noifp6HJBo1KKqhYjfsfveSb5zMI8TLfXhwa/l+vACQsuml0W1TrJpCcnUyeuoIgTrVqJi+eUQalgsPdYC7w+Fpv312Pz/nosWTCU7zH70j3z+0SRHDXGuhG3x4dDNRYMLcqEXquKaZZFlMGVCuq8lKOy9Qg+OvYf0ZiCUWD1nN/BoOa8KlqVFlnKTGj81YHTCibxy7YLFOapZ4xDAYlnTKFEroabcTbLeMaW/mwMbn1yA7w+n2iGecNPR8a0XaExVmyW9wS3tDtienARz5ictAXAGUweL4vpo/IAALmZ+iBFfRJqtHa5wLIs/vFFFQB5Y0ylVOCXiyv48KdQziBLptF0MpB6xjbvO0ONsSjINga84qvf2olHb5kZctlEKiHJJE/YDULYlaGn2vWcOGPFoJw0WWPL52Nx11++Q26mDk/cdlbEdbXbnFCrlLzn0Og3ZIUeaJfbi9xMHY6ftqJJco62djhRXW+FOVMPFpxMCIEUyqQbNLDbkqNhdvEczhA8WC2+fxFDDOAMZGqM9XPWbT7BC0GeP2MwlkRIFCa8tHY/Kv0J/JHK6AcqnW7uZvCTIWdjTM5IvF31Puo7G9DlccCgNqC27RQ6XDZkpge30pBCPWMcUs+YWqFGrj60McbnxPhY/oHzq0vHyqrTh4PLL/N7xlTyt6Saho6ojDG3x4fWDgda/V4tYaK+dN8Xzxgs+xmBNDu3drpgsTpx2K/2Hep0mT8xUL11/swhfOFBd0VCpMZYfUtXiCUpQoQ9Rs9E+M0SCWMFcsYEnjF7wLjrsIfvwZgMnv33Huw51oKJw3Jx5xXjgz4nenzSc0kOlmVx9/ObRWPEMyY8Rqfbx//GDkmz7sf+sUMkgfHq/Qv5+6/N4QbDcLle9iRL9IWr7vbGqWWYbCIaY01NTXjmmWdQWVmJ999/HwDg8/nw7rvv4tlnn8Wbb76JESMC2h2vvPIKbDYbrFYrZs+ejUWLFgEADh06hLfeegvFxcVoaWnB/fffD5VKBafTidWrVyM/Px/V1dW49dZbUVYWnVuzr0Ni0wDw2dbaqIyx3Uebse1QdAroAxmHh3vYlhiLMDSrFGUZg1Hf2cBX/d37xR8AcAZFJKhnjIMYYwQf60OmlkvQtcrotSkY7pfz+gK5F/FMHhQMg8JcPdoAZBgCXgu1SsHrjEUT6WvtcOKeFwIPi8w0jcgLEisGnQpKBQNrl0vUYzAaPaVL5pQh26jFP76ogrXTBa/Pl3Qvd6vVAQYBURBXnJpsAw2PJAT2w8F6TK3Ik61aT8SQJh5UYc6YsJl2d+eM2exu7DnGhVw5DUA2aOLpckd/zsh1lCBe36FFGSgwGVBv6UJtQwfvObM7PWiwdCHfZIDT5Q26dlxuH++xa7c5kZGm6RYHhNAAl+LpI3ljEe8OO3bswKJFi0TJoZWVlZgwYQL0erFbf8+ePdi6dSuWL1+OBx54AKtXr4bVagXLsli5ciXuuusuLFu2DEqlEh9++CEA4M0330RhYSGWLl2K66+/Hg8++GCSD7H3iFWSwsey+Mt7e7tpb/oXDi93UetU3MOWGBIP//AEDrcGXND2EFWA/zPiEv419YxxyBljKkHzcNnvKBj42IBnLNrWR1Lu/vl4//cD+/DwjdNRVpjh3xdu/Z0Od8gqtJc/FrcvKi0wJvS3VTAM0v0Nh4XbPC+KCmeFgsHCSUW8mX/LExvi3o9QuL2+OPTcKB7Jg/lv6w5i7XcnAHAhaSGJecb86xCsokuSM9adkBwsgpwchbQpdzg6uoI9eWoVd39QKhRYdvEYAMDeYy2iSt91m7nf9ranNgZ9n4SBWZZFu82FrPT4J0/hmDE6HwCnB7d8yQSMKTPx+oLxtlxLNhE9Y4sXL8bWrVtFY6NHy1dIrV+/HhMnciWmarUa5eXl2L59O4YPHw6HwwGzmRNpmzx5MtatW4clS5Zgw4YNWLFiBQCgoqIClZWVsNlsSE9Pl90GITvbAJUqvjivOUReSjLpcrih14m9MmqdBllhZurCfAJCsva1J465J2FOcxdQYa4J5hwj0moCv+tXp9bzr+u7GmWP/XLzT9DkacKR5uP97reJ93hYyc07OysNBXlZAACFCkjPUuPb6q2YVzoDejUXMlQqGCgUCuj84cDs7LS4tt/UyOVYne46w3/fbDbifIsda97bA0OaFmazETfesxZ6rRLvPnah6PtmsxHtneLrJz83PeG/bU6GHqebbdD5+8PecOFozJkSPrwpRPgoT/p5xjAi7yEAtHS6MVKmsqy/EM1v6Pb4YHd6+Jw/KVptsLe8vcsNs9mIGokMiVKpiP968k8glKrAOk4KwqJuX3THE+/2m2zi67nN4cUYybqOnAnkzmZlp4WVpGmTeMbefewCUeK+MSPgnBGe91sONOD6EM2+vQz329i6XHB5fMjz51wm+1q5/JwKXHL2CH6yuGhmKV5dtx+HalqRnqHrE8+ApOaMWSwWlJcHRBDT09NhsVjQ0tKCtLQ00XhLC+c+DfVZJGOstTW+/Aiz2Yimpo7IC8bAvuMt+O+PdfjVpeOgVStxqrkTv31la9Byf/1gD24U9MyS8sZnlUFjydjX7jjm3sZi5cJmjg4vmnwdcAoSbQ80HuZfD80sC3nsl5deDJQm5zfuKyTyt25ziK+pUk05Wlo6wYCBw+nGyz+8g+9Ob8WrO9/B5cMvwtklc8EoGLhcXnT4c7RsVntc2//2KKfrdNJ6RvR9eye33ra2Ln7c7vSKliHHbNCKJ2dutyfhv61Bq4TD5cWPB7j2Kx63N6Z1zhqTjy0HuAd8Y6M1aV5Ys9kIh9MTVEzw2ebjyOmnFdjRntur/roFja12vHzfAtnQsLUjOMw8yGRAU1MHjtaIcyOdrsTOIQaA08mtY/O+M/jmx4Ag6uEaS8R1J3I9N0i+d+BIE0YUio2OL7dU869rTrbyeZKy62sMrC8zXQOb1Q5palf5oAwcPx2c0rD0j1/LrvO+5zfhtVVnY++xZgBAnj8vtCfuyS7/M6OhsQNZMTYjj5dwRl9SfdwmkwmdnYG2HDabDSaTCTk5OUHjOTlcyXy4z1KFp9/dg/3HLdh9hDuhpJUbBF2Yig2ny4tv95wGAEytMOOeKyfihbvnJX9n+wlElkKn4i5ehcypnKnJwC3jrg0ap8gjDFOOyx0NlULFj/tYL07ZAhWC7x/5mH9d09DBh3mUcXaLIC2qrhj+M9G4UhmoSAslEeFwefDqpwdxTPIQcMeQDxMK4l0hiv6x5qDdfGEgipDssJTXy0KlFBtj0orQgcaZlk4+RObxyJ8vcs3nyblFcgOJxyfeRvUEhYKBz8ficF0bXv30ED+eplMFJbcnG5IPNmd8IYCAHIUQYegxkgitcH9DpSMUmwOOld9cMwWFOZH1AlmWRWWNv+NMmNZkySY/m7tWyGSpt0mqObhw4UI8//zzAACPx4Njx45h2rRpMBqN0Ol0aGpqgtlsxs6dOzF//nwAwIIFC7Br1y5MnToVVVVVGDlyZESvWF8nlNBkuAazdkE/L3OWHmP6caghGexo2AMAvHirnMdhbO5IGDWpfS71JEJjLE0VuIkqGQW8rBeQKXRwSh4o0Sjvf1O3CT/W7xaN1XRwHgNp31Di2dh5uClk0/C3v6jC5n31QePnz4w+nBgKYoyRROjBebGdTwzDIN9kQIOlC59HWcQTLV6fLygvNU0/sAvkH3w5EJE43dLJ5xwKkUvmJkYXOZ+JOOvJpsR6fuo0Sli7XFjz0X7RuEqlSNjQiwQxrkjF44Zdp3DF/HIY/Okzbo+P19IDgq9lgs3uxt+/qOJ7JQPAT6bLX1uDcgPXR162HrPHFeI9gYzE2ZOLcMWCobBYnfhff/TI5fHh+Ol2MAwwrCgznkONi7PGFeDd9UdxqKZv9KyMeOfctm0b1q5di6amJqxZswYOhwPt7e1Ys2YNOjo68O6772L3bu7GOmHCBMyYMQNPPfUUHnnkEaxatQoZGRlgGAZPPvkknn76aTz//PPwer249NJLAQDXXXcdTp8+jTVr1uD111/Ho48+2r1H3I2QMuFQD41wqaAfbAy0fIlUck8BWCKFoOQelg5PcOjBoEpMxX2gITLG1AJjTKGEy+fxG2ThkWvuK2Xzqa2o6ajD6c56nO6sx6lOzuOmV+kxNLNUtCyZge891oK3/ntYuioAwKETLbLjsUpsyCFNKCYPtliYMJTz9LfZkitl4PGyUCoV+NWl4/ixvqQo3ts88uaPst4eUk0plD0hSf1k+XDN42OhwGSAxepEqaDl1vIlE6BSKIIKCZINSc4XitoKJy1PvL1TJGnx1L/EEyTCwWqLyBD7+cJhOGdKseyy00bm8a/TDWp0Srxx15xXAZ2Ga7hONP66HB60d7lh1KtDOjK6A6VCgbxsA5raHLLFCT1NxGnU9OnTMX36dNGYTqfD7bffjttvvz1o+ZtvvjloDABGjRqFxx57LGhcp9PhoYceinZ/+yRKBQOvj0VdIxdBJyENKaFulO02J77bxz2QFk8fzAvpUeQRVvYSA6JTpmpSaFBQIiM0xvSqgKYXywL1nWJXfpZWfgYr15hbio/1IUNjxB/n/JYfO22rh0Gt58POhFDhEGGZvtz1Jm13FC952QHj8n/OHsZXj8XCrDEF+HJ7nag9C8Hr82Hj7tOYOTqf91hEi8frg0rJYEqFGcsuHoOX1h6gxpiE5nYHinLTYLO78cW2WswdX8h7pO67ahKa2x34y3t7A54xvwEzoiQLh2paE96+Rq2E18dir9+zesWCoRg/NAcqJQNHN/emdPrDlMJCBuIwYFmWD+uTIpD2Tpes/EWXJHE/N1MXMvcx26jFip9PQHunCwqGwZgyEz7bWovxQ3Nww/liMWijvyimpd2BVqsD+aaev1+fOMP9Bo/+YwceXzqrx7cvhNZFJwFyEtW3dOFUcye+2XlK9Pntl3CVJKFyXg5WBy56fQ8lEqYyREuM9JsUjgkxqAd2/kysCI0xrTJwAycyIkKGZZXB7Q3OQYlGI8jL+oJkNAalF8gaeKGEXo+fCeSHyV1Wwl6TiUDaJQFc0nI8EG+a1EsAAB9vrsY/vzwc0usXDo+PhcofxuWbvA9wY0waJidyDp9vrcWnW2rw3oZjfOTCoFXxYWcimEtCdXPGFaLAZODlGuKlpl6ciH7uVM6jpFIqwmpfRcuPlY2ykxG3x4uqWu65YjSo8XN/eLyu0YbmNjtuWh2oOL/j8nEYXcp5AuXy2IRq9UDoFmOEseU5mD2Oy1MbXWrCE7fNwp1XjEemxMucZ+Luz98fqIfL40PF4Kyw6+0O/uds7ncRSnH0FtQYSwLkBrD/hAXf7zsT9LlCpmGskGOn2/nX5KKghIZoXhWlF/JjrIwxlkbDlDEhNsa0suOEHxt2Y/nG+DQBfawPSpl1yjE434g54wqDxh/9+w4AwP7jLXzvSIJWo8SVi4bHtW9ShCGe0UPiy+NM84fD5BKoK/3el3pL7NXhXr9nDAh4EAeyZ4xl2SDNKNJnkvy+P1Y18aLaKqUCpgwdCnMM2H/Cgjabk/eMZRu1eOzWmZg+Kj+hfZpSYRa953W5lEzCOWOdDjfWfLRflCcHAM+9vxdL/7QRu/wFZRqVEgsnc90hjpxsx7sS42psWQ5M/snLa/85hJONgRpJlmVFzc0BwBRjEUtupl62hRgJSe463AQAGF/e84V7500rQVmhEQqG6fVrhxpjSUD4R9wq0alZeeVE/kQM9bc+3czNbF5cMR9DB/VcAmOq4vPnLikZpWAs+Mc10DBlTCgECfoagWfMoArtYWQ0sc8ofTKesXBcfe6IkJ899e6eoLE1d8/D4Pzk6QY9v3wunl8+N6RuVSS0aiVUSiYo3GN3evgWS5lpsT3gWJblc8aAQNXpv745Gtc+pipdDg/W7zoFl9sLH8sG5eWu33kKXp9PVsORGLLzJwyCx+vDvmMtsLu8UCkVSVOBX7JwGIYXc/f0maMDhp1KmXjOmNDTeuAEl4Rus7t5I4xQmGOAVq1EtlHLa7BJ0flV8HdUNeF3r23jxzcJeqz+fOEwTBlhRmFucu6rxIlBxGlHlPS8Z4xhGJgydPCxbI/1Cg0FjYklAWEjWIvVKfqsvCiTdxfLGQw+H4vK2jZkGNSyjVwpwZCQpNC7IhempDljsREqTBn2O8ZWeFtiCwdzxlj057pWo8Q5U4vx1Y8nwy533U8qUG/pSnpHhVhzueRQKhQ4ccaKyppWvnxf2C4t1obU5J4TkLYIHLPT7e3RROje5N31R/DtnjNoarXzTaGlfLqlRraVDzEGiBD3tsrGoLBioqTr1Vh19WTUNthQkh+oNFQpGHi9PtkcrWixOwMhxR1VjRhTZsI/v6wSLbPyyol8DnJmmganmztFk4IHr5sCgEu8F15fh+vaMKIkS+SxTXZhmUYSUu6tZt1EW621wxn3hCsZUM9YgtTUd/CeLSm3XzIWWrWS94xt3ncG+463iKota/1Cet4BHF6IFRKmFBoPcp6WcB4dSjDCh4IwTOnxhUk0VgZu7KGackuJJUxJkGstJg3zLJhUlLTwZLIh4a9n3w+0O6sVhIOkrWsiccivZUgaonsF/RblctP6Kw0WzjN79FQ71u86JbvMR5tO8MVVQkjIUO0/t0jIOD87ufcNhmEwpMAoCtUplQqwCJ1HHA1CA55cH8K+xtlGLUYJJJI0KgVcHh9GDuE8UGPKTHwkRioBQjQvSQ5ZNC3AYkWY3zdrTGLh4EQgf4K3v4o9bzOZUGMsQf7yfuheklP9Zb7kojnT0oWn392DR978kV+GJIyeNTY4L6avsuHkZry2/y1RVWNPQiQWlIrATKrYOAiAuMqPesbiR6sKzBC9bOCmv3Lqr1GRHdDKYhQBQy0tSmNMLoE/EnLGWHeLZiYTktNVJNAaJB7zzHQNGixdqK4PVi73sSze+vIwH4YiPP3/dgLg7ikAMGFoQJ9NzgvUXyEVqkdPtePd9dGHaNMEhVIk1EsmxEsTTNqPBnI+xxOq/LGyEe9vPIYt+wMyFXJN4q89r0L0nnieiPEpNLCk1xeRxdh1hMvnOndq8o0xYfXkmLLe09Uk95Hevm6oMdYDSL1eJ5u4WZrPx+LvX3Bu5YwUamHy78NrsaNxD1y+np+BsyyLb+o2ARB7wy4oOxcXl5+PX46+kh/TRBlqowSTqw8k0wo9Yzk6E+6cdCvumHgLNyAwxuaOj25C4WO9sgm94VDJ5PC02wIpAeOH9u2uHf973VQA4qqtk02dyMnQYv4EbiIhrcIGgKZWO77eeRJ/lmhAqSRtfhQKhk/S/ts6ccP0/owuztSOIQLdL7Wki0Gs52Y8kPByPEn8az7aj0+31PBySABXPcmtV4Gywgy8ct9CTBwuFlAmnigSppReU5fOC7QyhD+hvd2vjRdvJXE48rMNfEeL3gwPXjavHEMHZWDZz7rfCA8HNcYSRCjmRyjKTcP1Ak2VUBfckZNt/My2tiHYjd7X8fh6fiZxrL0aX9d+C0BsjKkUKpxXuhCZ2mDFbUrspKsDHhxhWjQpmtAo/ZMHvzF22yVjcX6UOSWx5owBgZm/SqnATH9Ig4ToZo8fhF9fNi7kd/sCRf42MTa7G+98fQSH69pg7XQhy6jFPL8xZusKntwIp3FCT7TJL/lx/1WT+LEOf6jzVIi0iUhs2nMar316KOaQaW+i1QSnPY8rz8Hg/PCdEm66INCmSiXJXQqlbZdMlHF6xuSS7wHAZvfA4/XB4/VBr1XKFiAQzxiJ1EiP+6KzSvHKfQvBMIDV5uSXK8lLl/VMJ4P7rpqEa88bgdG92HEmJ1OHB6+biuIYu2skG5rAnyB6GZHLn84cglljC/j3oS44oWs5lGp/X+ZI6zG4fG5ML5jcY9tsdwZkQEjvRCGx5iJRYoN4DdQKbibLKLjztrTAGHUisof1xhymPHdqMQ7VtOKqc4djkz+fZddRrmqsIMfQbQ+LZCHcvy+31/ETtMF5Rv4hKfcA9Qomci1WB3Iz9fB4fThwvAXZRi0qBgekcBK9h7z+WSUAYHhxJub6DcS+jly/319fNg5qlQKv/+eQqBqQ8NzyuUgTFGVIz51kVVKGg3jG6ls6wzbnlmKxijX/LptXjq92nMSJM1Y+L84UQmOPJMyTdcjleCoUDIwGDdo7Xej0V6AOSWJlspT8bAPys2k6CUA9YwlDZC2ElSbSlil6GVf6lgP1oqqWGy8Y1U172H28vP8fePPgO3B5e24m7RZ447SK4JuYnibtdxsFafm8Qr7UMxatN6Ghi8tB0Sljk3LITNfit7+ciqGDMqHwh+jW+8N60eaq9TYjBaKWJCQ5a2xB2JCVcCJH7hckN6q1Q1y5nStoRRVrPqfQkJPLP+qraNTBjzASjgvVtD5NUh2bIel40hOeMZK3tfrtXTF9r03itVwwqQgjSrJgs7v5pPuxIfKvSMFIZW0bFAwTsul9ZhpnjB31y64kS8qCEh5qjCUIyQdTCy58qdLwtFF5kPLyxwf5cMLtl4yNuhKtL9LhSqyZbiy4BXlqcjlhtIKy+5hfFGgXolGIjbFovGIsy+L3PzwJQJyTFivSh2WqGGMXnlUaNKZTK3njQerZamztwht+bxUQCFGFatNz+fxAzk+oZOTKmlbctPqboGKBNkH+XSp56aXnHVFUB4LPk5GDs/DITeLWfgCQnaEVVfYpFd3/WMzNFLYbi95wbpMY4Gk6FZ8qQ/pOCrtGCMkWPJdmjM6DTibEC3DGmMPlxZfb6wAA44fmyi5HSS7UGEsQ4hkThiuz0qUzLYVsyf0ZvzGWnRGbl6CvUWeTLynvDoQteDrdwUYgwzC4Z8rt+PPi3wZ9RonM72auxMOz7heNLRlxMQBgXG4gz0bt94yRMGU0CBuNR6tjJof0IZsMHbCeYHSpCU//erZoTKtRQqlQgGEAt8Qz9vwH+1DTENC9IlVfoTw3Oo0KU/2K7598Xy2rmfX3L6rAssAn39cAANbvOoUXP9oPq6BRMulfmApIVaiWRMkAACAASURBVNNJbh6AIK21C84qRZE5OC9I4Rf+5N/3gGdMuL1YqoJJPt+VZw/D40tngmEYvvUX16tUETJMectFgeu3PIy4OGkeTsKe5hAtySjJhRpjCUI8Y5npGijNtWAM7bJernOnFuORm2dg4aQifqzaf7M0GVP7ZJcziroLlyBMOdIkr8xenlmKkszUyHnpa+QbzEFeqwXFs/H8wtXI1gXCbGqJZywahAUfcvl+0SJ9AKeSV1nqNSchMtKsWcjJJvF1ZXdxv184L+R+vwTGl9vr8PAb2/m8HwJ5v/NwE1iWxT++qML2ykaRx+WjTSdiOaReRaq5L/xtZo0tQIVA1V0fwhMEAEL7qyfClIMEEicdXeHTPLw+H/afaEGbzcmHpisGZyPPn2uVpg8cV7ZRE7IaVK9VgXwUrner1Jkg7fdJ6R7or5wAXQ4PdvuTiBVaJzRlB6Ebu0X2ZskwDIpy01Ag0FZpsTqgYJiYEjj7Im5vz1VVOjyBBNYJ5t4tRR5ISM9pkoBPJFmkeZJyuJNkjO091iJ6n2qdK5YsHMq/JvuuVioiyhwQDwoRJR0n08vvjsvHi97vE/xWFqsDHYKKzbf/e4R/Ldc3MxXwSX4yl8DLVJSbhvuvnowX7p6He/5nYsjwHRDQawOAHlC2QFlhBjL814y0fZGUd74+iqf+tQcrnt+Mr3dwKvkmQTRFmANHhGxD8atLx2H6qDyMCtMD+eYLR4veJ7ujBUUeaowlwMbdgfCcWhOdh2DBpCJR2bUxTR2TW9zucWB3037UdZzuNdFVKe4e0Bur6ziFZ3a+hP/WbgAA3Df1jm7fJiU0pI9lcV4aXr5vQVTVjGLPWPwGlFKiC9VXroNoMchUYKtUCr7JtdvjxY2PfxO0jMXqRJfDgyp/GyVh2IlQIenvt9ffKLu2oQP3rvle9NnXOwPtb6TN1knY0uvz4a0vDye9TVCykCrYG3TBv61eq4ooKnr+TK4Aq3xQRo/lIE6u4HKJI/UT3XqwIWhM6A0WvpbT4xNtc4QZyy4eG7ZdljDM2ZtirAMNKm2RAMK+XQpNdAaJWqXAb385Fbc8sQEAsHBiUfgvSHjv8Dr8UM8p+N82/gaMze35Kky1QiXycvRENeWepgM40nacf5+jpzeJ3oTMlllEn/AsPGfSVPFXaJFwHsMAs8YUYExZDiyWnguVJ4qwpyBBrVTwOWP/+aFW9nuffF+NT7dU8+1b5AwP6cSOGFHHTrUHLSvE4d8nBtzftKXdgQyDBkfq2vH1zpP4eudJvLbq7LDr6A2EIesRJVlxN5tesmAYLp83tEfyxQhKgccpXI9KufZWwmVFMh1JCimOKTOhqrYNN6VglX+qQj1jCfCdUMNGETBIvOF6+UH88BosIxobDmKIAcAJq/xNu7sh8gYAwIDBjsY9YFkWbc523PvtQ9hWvzPkdw+3HsWzO/8Ku8cechk5XD7u971t/A24b+odIlFSSs/D+D1jrEyD9nZnByyOVtE/q6sD+5sP8stMyZ8Y97ZJJdoFs0px84WjQ0oY9FVI5aLQm6gWeMbWfhc6Z0voCAqVG/TiPfPx+LJZKCvMwJmWLnh9vohNmB3+fLSCHM5Ibmrjrs++HqESesbOnlyUUEitJw0xAPjZnFL+dbjexNJPRhSLk+/12sDf9vjp4JZa8XDXFePx3PK5yEpP7eKyVIJ6xuLE2uniL5LfXDMFDZ5ACbrV1SFKdg5HOHexkPcOr4NNkihPHog9DTE2x+SMhM3diRprHXY07kGL3QK7x443D76DTE2GqHqO8MKeVwEAP5zZgYUlc6LeJqmiNOmyMSi9IMLSlO6GPPSkYaLNp7fi7cr3w3737JK5AZ2yOLjlojHYuPsUzp8xJO519CYjB2fjy+11WDwj0O+PeMYaW7vCfDM6tGol8rL0fP9Fr5fF6Qiq/Bt2cxpVBSYDzrR04aW1B7D1YIOo4KgvQuYCw4oyMXmEuXd3JkaMBg3GD83B3mMtfCWkFJZl+QbfhJI88QS+O3K6VEoFIqSfUZIMNcbiRFj5VF6UgZOnAiGYdpdVZIz5WB++qF6PDncg70I9hMvX2Gxpxj5n5AT+jSe/DxrrrUmr2+fBEGMJbp9wI+799ncAgNcPvI3FQwJhjL/s/lvYdcR6A3H5jTHab7LvoGAUQdVsZ2xcfsvYnFEwqLlEc7vHgX0Cr1giyfsAkG3U4pK55ZEX7KNMHJ6Lx26dySfiA1x4ye1hUVXbFrT8nPGFYi88ovNYEU+P18fiqCBMefGcMtjsbj4ZXEiROZ1PKN91pBmzxwX6jXY5PLKh0d7E6W9offOFo/p8FwY5lIK/kRwdXW64PD4MHZSBY36vl1pG6PaCWUPw6Zaa7ttRSrfTt66sFKCqthVnLF0wZ3I30mHFmVAwDHyC0GS7U+wqrus4hU9OfCEaU3Ht9bCrtRaQ13CMiEapgcvrwlM7X0SrI/gmTmAUDNgwbvBYUDAKuH1u/oG6ZPjF+Puhf2Fc7ihYXeL+mguKZyNDI57FrTv+OQBAzcR26pEwpTrBBzkleTBggpLnnV4uBHf58AuRZwh4Kh7c/Cja/K2seqOnaV9DWFUNBKop5dqrXX/+SIweko2/fRwwaAtMkcP05EHvcntx4kxgIthideDGn46SNcZKJP35nv9gH//aYnXAoEusf9/+Ey145ZNDeODqycg3Ja7sTpplp4rWnBRiQL7wwT7cd1VwW7nTTdw9dUiBkTfG5ApALptXDrvTg5GDQ1dJUvo29MkWA9YuV1D7CnLz8gpyZ6wuG7w+L5T+ijGSuHxW4XQsKOFEH3/36jYAwMM3TAMTIVeh1dGGF/e+HjS+7vjnKEovRF3HKaSpDDBq5fPPVFGUzUeD2+tGi4PTMSJG0Yhsrkx/X/OhoOXnFZ+FfIM4dJCfloeX9/0dTl9sSf8kNJqoV4WSPBiGCfKMOfzGmFYp1jEyqPS8MdbmDJ9MPhAhidfE0yNEwTAiXSoAOGt8YdByUogxVtNgE13/o8PIGqTr1bj9krFY89H+oM9arI6Emym/8vFBWLvc+GxrLa4/f2RC6xKGyHUpJm9CIK2wKmvb4HR7g9JWTvmNMeHvLidpwjAMrjmvohv3lNLd0CdbDHTJtBghSbTC/Kh3qj7Ax8c/xxNz/w9AIMk5U2tEUTp3E/3lgmnw+lgUZ0QWJzWHaB3jY31448D/AwDMLpqBi4eeL/99sxFNTYmXprMsi1+v59TZ1Uru1AnXC1Il4/0iyutOT2zGmIelxlhfQ84zRowxnUqc+OsTGG2tDmqMSSHt1Eiro0WTi0XSE8KKuYnDcnHt+aMiVpCSMCURFb1kbhmmj8rnw6MjB2ehUhAWTdOpMKIkE0qFAvMmFOLbPeLQ6MsfH8Tjy2YlJLKr06pg7XLzBQOJ0OGX49CqlSkZogTERQPtnS7kZYnvp8QYKxA00xZKI1H6D6l5BvcScjeQIye5m5m0grLTHUjEJTM4IpQJAPMmDIo6OVaj1IQ0Qjo93HYSaS8TLcI8L4NfmkCn0uK28TfILi+3z7wx5nUGfRYO3jPGpOYMuD/CMAx8EHtcnR4nGDCB3pV+cnUBKZLLhl/QI/uXShDP2Pf7uf6CpKqRIDSALplbFlUFKana7vL3tNSqlSgwGfjreNaYQCHMLxYNx3PL5/HfERp/U0fm8etZF6bSMxqICv62Q41BnRRipdVflTo3Ci9hX0Wo9u+SaYtU65cmyTcZsPIXk/Cba6dQEdZ+CnUzxEBbR7A359ypXEWUV6bEn4QqyQNLaIzFysOz7seDmx8N+blW2bMlyCZBgcLY3FFYXLoIn1d/LVpGLSPsSfbTFWOYkoR6E/kNKclFAYVMzpgLWqUm6IGxaPBc2NyduHHMVVQjTgadJDwlDbtpBEnb5qzQ3mgh5EHf1Gr3r0O8zrkTBmHCsFxkyHQAEQqfLlkwFD9WNgIAPAkaUEIZhq92nMR500rCLB0e0hoo25i68guFOYHws0vSDmvrwQZsPcAZ51npmpQ+Tkpk6JMtBuTKzkm1kZyMw50bHoCP9cHnN9QUCfzcWdpM6P36Xnn6XH6ceCBye/gBJ5XuuLDsPNw67pd4cPoKfkwt462LN0zpZb1QKVR0VtiHCJUzJjcxGJE9DCun/poaYiGQipVKDSeGYXD5/HL8cnGFbJK/HCQEtn4X1ymkyxEsHipniAGBrgZpOpWoj+H2Qw1Bav2xIOzN2drhCLNkZNpt3H6kshbWOVOL+Tyx/SfEbb4+/r6af03ve/0faozFgHTmIuSr2o0ABA2U/VhdHbwxlugFRcJ+OpUWd0y8hdsnfyuiPEPPauxka8UPD4ZhMME8BoPSC/D7Watw9+TbZCsfyYM69jClh4Yo+xgKuWpKjzMoX4wSmYnDc0XvSS6q0BC6YFYp5sfQsYOEAYlswujS6A3hOeMKcdbYAjx0/TQoFAxeuHseAKDT4cFHCYQqVYJWVq0dzoRClaRXp06buvcFpUKBaaO4MPBHm06IurpEaiBO6V9QYywGwhljBGnz6lf3vyWbMxYPHX7piBZHq2hdCkYhysnpCUxhRG1z9CYMyyqT/YzohMVaTelhA9WplL4BlzMWLG3RE/mL/Q1pUrzb68WL98zHH5fOjHud0qrJWHouZqZrcfOFo5HrD4nqtSo+dLph1ym4PdH14pUiLILadqgRX26vi2s9AODy70Ok7gJ9HaFBSqrsAa7RORAsg0Lpn0T0dzc1NeGZZ55BZWUl3n+fU9Zua2vDn//8Z5SUlKC6uhorVqxAbi43s3vllVdgs9lgtVoxe/ZsLFq0CABw6NAhvPXWWyguLkZLSwvuv/9+qFQqOJ1OrF69Gvn5+aiursatt96KsjL5B3lv45KUnV82jxOedHvdYMAg32DGjIIp+LFhN7/M8fZqsOxcAMnLd+p0d4nWZVDpe9xQydJmRl5IBrVCBQZMVGFKl9eFuzf+L7896hnrW9jcnbC5O+FjfVAwCtg9drh87h7PX+yPjBpiiro7RyhmjinA218dgc3f2zBSE+lI/ObaKbyxsOVAA+ZNEFeCd3S5sPtIM2aPLwzZqslidXK6jP4J6q4jTVg8Y3Bc+0OEt7UpLhV/2bxyvnBD2PyorDADlbVtuOGniUmAUFKDiNbBjh07sGjRIlE44qmnnsKsWbNw66234pxzzsHq1asBAHv27MHWrVuxfPlyPPDAA1i9ejWsVitYlsXKlStx1113YdmyZVAqlfjwww8BAG+++SYKCwuxdOlSXH/99XjwwQe76VBjw+vzYn3dd/jk+Jf8vyOebVAVHUHWsGqoio7AYtiLT45/iVcP/BMsWAzLLsco0whevoLw7uG1AJKbfC71jPUUyyctxVUVl4v6U8aCglFAo1TDFUWY8qNj/+FftznbqaxFH6WxqwkA8OzOvwIAaqzxezsoHJkhcrliRdgpJNEm0iZj4Jqvqg1Wqn7rv4fx+meV+HyrfM/c5nY7aho6MLw4Ew9eNwUAEtItI5ps6iQ1x+4tTBk6vHjPfACAx8vymnC8sZninj9KdER8ui1evBhbt24VjW3cuBG33XYbAGDy5MlYtWoVAGD9+vWYOJFrAKxWq1FeXo7t27dj+PDhcDgcMJvN/HfWrVuHJUuWYMOGDVixgkv6rqioQGVlJWw2G9LTw1+k2dkGqOKcEZnNkZtzn7SewXtH1okH1YC6CHByL7HVcgywBD4eXTgUeXkZOG/4XLy+611+vN3FKSdnGPVRbTsSj5/7AJ+HBnCaX5HWm4ztcuuJv8EzQafWwcN4Iu6T5YA4oVWjVsd0HMk65lSjp4/bq3UiPUuNOhvX39Dlc/f4PvS3v3U0xxPNMnkmA+oaOHmEgryMmEKVUrwC4dgjJ9uDtt/p5IyjXUeb8cuLxvLjVTUWdNo9vPE0a/wgDBvCaSd62dj+dsJllf77f0G+MeX//kJnx85jFlwwuwwkoFtUmAlzTuSOC/2JVP97xkNcroaWlhakpXEnR3p6Otrb2+HxeGCxWFBeHugZl56eDovFIlqejLe0tAStS/hZJGOsNc6GutEKoGqRjrsn3InH3/kBAPDzhcPw7vqjmDQ8N6gc+5ldnEfA3eVDU1MHXHb53DKbzZGQ+OpvZ9yLk7bTMHqzUdshaGXCIux6kyX6mizUjBpdzsi/hcctzkdifIqoj6OvHXNP0RvHffhMLY43nObfGzXpPboP/fFvHel4oj3m2y4eg9/8jbuHtbV2osuWmJfloeun4S/v70VrhxONjVZRUZI5gwtPn27qFO3bvX/ZBABY+jMun9br8cLRxXnGLW32uK9pq78a02Z1oKkfFRuebrDi6x+qsYG0q/J4+t35HY7+eD0TwhmZcfl3c3Jy0NnJqT/bbDZkZmZCpVLBZDLx4+Qzk8kkWp6M5+TkBK1L+llvYu104avv2uDrMIn+zRwyBsOzh4r+EVRKbtbp9MrnQ520nZEdj5aCtDxMzec8U0pB/lSLI87mlr2EVqkJ+RsJGWwsFr1X0QT+PkljVxOUglB5unpgzeKTzf1XTUraugpMBl42I9EwJcD1SCzJS4fXx/LVjAR3hJZrB6u5MIJKyUCjUkClZNAp09UkWlxubnsamcbZqchFZ5UC4Kpfn/n3Hn6cCPFS+jdx/ZXnz5+PXbu4Ho07d+7E/PlcvHvhwoXYvZtLXvd4PDh27BimTZuGkpIS6HQ6NDU1BX1nwYIF/LqqqqowcuTIiF6xnuBAtQXbDjXy7zv9Gj0GmTLq+6feiYXFczA+dzQAYGr+RNnqxnRV8qpiUln8VKvUwul1BskiCDltq8cXNd+IxpQxNhendC+jTVwvvGaHRRQ2N2oGXoghGaTpuPM70f6PUu77xSS8ct/CkEn1sWL0hzo77GLdMmIchdrKpr3cZNTrY8EwDAw6taz2WbSQ6vZUr6YkTBrBFcEJ8/xyMuPLzaWkHhGfbtu2bcPatWvR1NSENWvW4MYbb8SKFSvwpz/9CdXV1airq8P993P9CidMmIAZM2bgqaeeQnt7O1atWoWMjAwAwJNPPomnn34agwYNgtfrxaWXXgoAuO6667B69WqsWbMGtbW1ePTR0CrzPYlJonZMZnBaTfBPNjijGIMzAl4coyYdD5+1Cs/vfgWHLIf58cWli5K2fxkp/MDTKjVgwcLj80CtDM5h2Va/E28efCdoPE0dnfI4pWdYNv563LnhAXh9Xr4DhYJR4JqRV/TynqUm9189GZ12t6gVUTJQJFhFKYXknXXa3YCgGwCpNu9yelBV24qKwdk46e+tKMTqF2tN06nQ0ZWAMdZPEvgJan8OnNvjQ5pOhU6HB8uvTJ6XlNK3iWiMTZ8+HdOnTxeN6XQ6/OEPf5Bd/uabb5YdHzVqFB577LGgcZ1Oh4ceeiiafe1RtJJ2JKQ8XDoeDo9P7IKXMzziJU2dutozRBjX7XMH/SYur1vWEAOAfENet+8bJXqId9bH+vgOFDeNvYaq7MdJsbn3IwLRQDTRbFLPmMCjs/rtXfjT7WeJdLMImelcpajJqMWZli7Y7O64mo+7PF6oVYqkefx6G2JUujxelBZm4MAJC0aX5aC9Lb78aEpq0T+mFN2ARlKpSXqzSXvIhV2HQPxSqlg/kCE3T59MmPLHhl0hv5ef1rNdBijhYRgGCkYBr6DllzKFw+eU6Eg3+I2xLmmYUpxD1h6ibdJcvz5Z+SBOq/D4aWtc++Hy+KDpJ14xAPyxbN5Xj6Y2OxQM02+8fpTI0L90CEL1f4vFM3bVyMsxJW8Czi9dhHun/ipZu5bydLq5md6Gk5uDPuvy2EN+L1fX+4UdFDEKRsF5xnxe//v+kb9DCU26Tt4z5nSLE/jl2vmcN62En4yVFnCpFqdkQpnR4HJ7+02+GACRYdnYakdhroH2pBxAUGMsBNlGeRXxWAT4srSZuHHs1biw/CdxK9aH45zBXBHERPPYCEv2LY60HQcAfFb9VdBnBlXovDCtirbZ6WtwxpiXD1NSz1j/x+AvNOhyitMwXJIWSaSRt5BpIwOpBmQ9TnfsrZV8PhYWq7NfeY6kxzJxWG6IJSn9EVqeFoahRRk4dkrsQhc2uu1tLh56PhaWzOkWQ687YcCAhXwlpZcVz66ztJloc7YDSO0K0v6KAgrUdpyC1d83VUk9Y/0eUmAg7DP58scH0Ngq9mqfau6EFJUycA0Tr5bLHbnnr5QPNx2H18eiJEXy7KJB+NsAwJQKmpYxkKBPtzDcvWQinlg2i3+/4ucT+pTbWMEoUs4QAyAyxD44+glOCfTXiIeFIGyBxIQsmqf0Fg4vJ7xJDGbasqr/oyeeMb8shcfrw5YDDUHLyTUBVwomsyQsF6tnjGVZfLqlBgBQWpi6VeVSpM+WVCnooCQHaoyFwaBTIVdQuk0SVynJ4+vab/HYtqf59z6f+Ma8sHgOrhm5BBXZwzAoraCnd48SI2YDzevr76RJwpRCXawh+Ua8cPc80fIzR+fzr4XeHy3vGYvNGBPqm+Vlp25VeTj+74ZpQZ4ySv+GTmNjQE0vjm5HGKZUK1RYUDIbADBr0LTe2iVKDITL+aP0D/R+rUWivSiUtCgblAG9VoWrzx2Bt/7LaSwKi56UAs0zEqaM1TMmVP7Py+pf59sLd8+DSsnwmmOUgQO1LmIgVIUlJXnUdZziX2emYAh2oEPz+vo/CgUDvVbFhyndAmPq6nOHAxAno2vVSsweWwC9VoUMQ6AIh7QxEhpz0eASGGPmfmaM6bUqaogNUKh1EQNErJCSfLw+L5QKJXY0BnqyzS6cHuYbFAqltzBoVXyY0uk3phZMHMT3URQq71u7XLjlwtG4nmVFfRaJlqPTFdkzZnd68IfXtmLxtBJ4/D0wlQqGr8ikUFIdOo2NgsdunYnfXDOFNmztRj6v/lrUPPyGMVfh3CELem+HKBRKSEi7HgBotXJFHFkCOaBzpgTaw9nsbjAME3T/VCi4huF2V+Rm4Rt3n8bWA/X4w99/5HPGLplblvBxUCh9BTqtiIICkwGgHV6ShlqhhtsnFow80nYcJ6y1/PsCQ16fqlylREarpJ7jgYJBp4LT5YXT5UVTGydpIQwZ5mUb8Pzyefj3hqO46KzSkOvJzdKjqc0RcXskpOn1sXjjs0oAQH4/Td6nDEyoq4fS49wz5fagB7dOpRM1VVcqaN5EqpGupqX4AwWiMXbbUxtRVdcGADBnivO3DDoVfrl4JEwZupDrSdOp4HB6wMq0RhMizNe1+tss5ZuoMUbpP1BjjNLjlBiLcOOYq0VjepX4hk19YqlHqnWCoMSPsK/stkNc315zVmijKxRqlQIsOI9XONwySf552f0reZ8ysKHGGKVXkIqD6pTiG3mOjsaFU4nLh12IS4b9tLd3g9JDGHRizUWNSoGMtNjD1CSJ3xqiqThBaoxlpmliak1HofR1qDFG6RXUCvHN3O4J5I08NHMl1EoqsJtKjDePpbIWA4h8iVfK5fHFleNZ19gBAHj9P4f4MZZlRZ43bv3iissZAiFZCqU/QO+elF5BrRR7xrY37ORf66lwaMpBG4QPLH5xznCcPbko4fWUDeK0BA9Ut8Lr47xfd/3lO/z+9e2i5dyS/pUa6hWj9DPoHZTSK0g9Y0J0Sm3Izyh9E1r5OrDQaVS45rwKPH3HHADA7ZfEly94zXkjYPS3mbvliQ1wub2w2d2obbSJlpMKw04flRfX9iiUvgo1xii9QjhjjIYoKZTUIDNNg9dWnY2pI+MzjjIMGlx97gj+/UebTvCvWzucqKnvgM3uDgpT0ibalP4G1Rmj9ApqBT31+hMaBdUYo8TH9FH5eGntAQDA59sCWoP3vLCZfz2mjBb0UPo39IlI6RVCGWNLhl/cw3tCSYSHZ61Ck70ZBjXN86N0HwdOWKBggKkj8zBtJE3ep/Q/qDFG6RVChSnpQz21yNWbkKunXgtK91OYm45lF1MtO0r/hOaMUXoFqc4YQUuT9ymUAcfPZpdGXKaI5olR+jHUGKP0CqGq7/QqaoxRKAONS+aWY+nPxoRdxpQZu8I/hZIqUGOM0qfQq2i/OQplIJIbwtjKyeAmaDnUGKP0Y6gxRulTFKZR/SAKZSCSbQx4xVXKgOf80nnlGFOajZ+eVdYbu0Wh9AjUGKP0GQYbi0LmklEolP6NKUOHESVZAACFImCMTRuZj3uunBRX70sKJVVI6Mn3xhtvoKGhAXq9Hi6XC/fccw/a29vx5z//GSUlJaiursaKFSuQm5sLAHjllVdgs9lgtVoxe/ZsLFq0CABw6NAhvPXWWyguLkZLSwvuv/9+qFT0oTzQGJMzsrd3gUKh9CKXzy/HH/+5ExfPLsO/NxwDIPaSUSj9lbgtnkOHDuHDDz/E2rVrAQB33HEHvvrqK2zatAmzZs3CT3/6U3zzzTdYvXo1nnzySezZswdbt27Fyy+/DLfbjQsuuADTpk2D0WjEypUr8frrr8NsNuPxxx/Hhx9+iCVLliTtICl9m3MHL0BZ5mCMzw2fwEuhUPo3w4uzsGbFPOg0KmQbtai3dNFWW5QBQdxhyurqahQWFvLvi4uLsWXLFmzcuBGTJk0CAEyePBkbN24EAKxfvx4TJ04EAKjVapSXl2P79u2oq6uDw+GA2WwO+g5lYGDSZWGCeSy96VIoFOg0nI9g5pgCXDL3/7d3p7FRle8bx7/TaadDW7oyXaBlaltaNgWRymK0gYCiKKSGFyoYEYwmElAwRnhhA40KBhVxgwSNBRMXNBaJbJGqIXGhQgeBIFpKig0U6F46LS2dmd8L/u1fVFQ6tKdz5vq8o5mh95XnOTP3ec5zTjMMrkakb/R4ZezGG2/ktddeo729HZvNxtGjR0lJSaGuro7IyEgAoqKiaGpqorOzk/r6ejIy/v/AioqKor6+/orXd/28rq7uX39/XFwEoaHWHtXucAzs0fsCWX/M/NK059h+/Ctmjs7DHnb975Tqj5n7QjDmvxhFogAADlRJREFUVubgoMzBIRgz97gZS01NpbCwkHfeeYe4uDiGDRvGwIEDSUhIwO12Ex0dTUtLCzExMYSGhhIfH4/b7e5+f0tLC/Hx8d2v/+PPExIS/vX3NzS09qhuh2MgNTUXevTeQNVfM8eQwMPZD3Ch8RIXuHRd/+/+mrm3BWNuZQ4OyhwczJz5n5pMv+6mjI2NZenSpcyfP5/m5mZmzZpFXl4eLpcLgLKyMvLy8gCYMmUKhw4dAqCzs5OKigpyc3NJS0vDbrdTU1Pzl/eIiIiImJ1ftyy+8MILjB8/nrCwMKZNm0ZmZibLli3jlVdeobKykqqqKp577jkAxowZw4QJE3jttddoampi+fLlREdHA7B27VrWrVvH4MGD8Xg85Ofn+59MREREJABYfD6fz+gieqKny5hmXgK9GmUOHsGYW5mDgzIHBzNn7rXLlCIiIiLiHzVjIiIiIgZSMyYiIiJiIDVjIiIiIgZSMyYiIiJiIDVjIiIiIgZSMyYiIiJiIDVjIiIiIgYK2Ie+ioiIiJiBVsZEREREDKRmTERERMRAasZEREREDKRmTERERMRAasZEREREDKRmTERERMRAasZEREREDKRmTERExGBer9foEsRApmzG6urqjC5B+kB9fb3RJfS506dPG11Cnzt37pzRJfS5iooK3G630WX0qYqKCg4ePBhUTcmvv/7KqlWraG1tJSTElF/Hf3HmzBmjS+iXrCtXrlxpdBHXi9vtZteuXRQXF1NRUQFASkoKPp8Pi8VicHW94+LFi7z00kt4vV5uuOEGPB6P6Q/qixcvsnPnTj744ANOnDiBw+EgLi7O6LJ6VWtrK1999RWbNm3i6NGjAAwdOtTgqnrftm3bKCgoICkpiYyMDLxer2mPZYDm5mbWr1/Pli1byM3NJSEhweiSel1bWxslJSVs376dlJQUkpKSsNlsRpfVq5qbm3nrrbfYunUrFouFESNGEB8fb3RZvcrtdrNnzx6KiopwuVyEhIQExWfYf2Wqb+1du3YREhLC4sWLsVgsvPfee5w8eRKLxYJZ/+rTb7/9RnV1NWvWrAHAarWaNivA0aNHKSwsZMiQITz99NOUlZXxyy+/GF1WryovL+f5558nPj6ewsJCGhsbu1eLzDrWXasjHo+HUaNGsXv3btxuNyEhIabNfPz4cR5//HEyMzP5+OOPcTqdQbFKdODAAeLi4igsLCQrK4vQ0FA6OzsBc87v7777jhkzZpCYmMibb77JsGHDTN+Itbe38+6772Kz2SgoKMDr9dLY2Gh0Wf2KaZoxr9fLzp07GTZsGA6Hg3vvvZehQ4fy3nvvAZjubLrrQ6q5uZkXX3yRuLg4NmzYAJh770FMTAypqamMGzeOtLQ0xo8fz2+//WZ0Wb0qNTWV+Ph4Jk6cSGJiItHR0VitVtxut+nmNVye212ru3V1deTm5hIZGcmXX35JQ0ODKTMDpKenc+uttzJmzBg+/fRTNmzYwMqVK9m5c6fRpfUKn8+Hz+ejpKQEi8XCjh072LZtG2vXrmXTpk2A+T63AcaOHcuCBQt4+OGHiY2NxefzsW/fPqPL6nVffPEFTqeTxMREBg4cSFVVFVVVVUaX1W8E7GXKqqoqdu/eTXp6OjabDYvFwokTJ9i7dy933303kZGR2O12ysrKyM7ONsVlrD9mDg8PByAhIYGYmBiSkpJ49dVXyc/PJzIy0jSXc7oyO51OwsPDsdvtjBo1CrvdDkBNTQ1ZWVmkpaVRX1/PgAEDDK7Yf3+e22FhYYwdO5bw8HAOHDhAWVkZHR0dfPbZZ8THx5Oammp0yX7789z2eDx4PB6qq6u57777qKyspLi4mIaGBiZNmmSKrQd/HueuFaHi4mLy8/O58847qaqq4rvvvsPpdOJwOIwu2W9/HmeLxcLp06d5//33mTt3LjNmzABg+/btDB482HRz22azYbPZGD16NFarFa/XS01NDU6nk+TkZFPMa/j7uV1XV8eOHTv49ttvGTBgAFarlc2bNzNo0CCcTqfRJRsuIJuxjo4O1q9fj8vlIiwsjOHDhwPgcDjYtm0bycnJpKen4/F4OHbsGLfffjsREREGV+2fq2Xu2lvhdDo5cuQILpeLKVOm0NraGvD7Lv4uc2hoaHcjCrBnzx7uvfdeTp06RUlJCWPGjDGwYv9dbZy7MkdHRzNz5szuFcHo6GiysrKMLNlvf5c5JCQEq9XKRx99RHNzM6dPn8ZutxMREUFKSkrAn1xdbZydTidpaWmkp6cDlz/TXC4XEyZMMG3m2NhYNmzYwMiRI8nJycHhcFBVVUVmZiaDBw82uGr/XC2z1WoFLq/87d+/nxMnTpCbm2uKRuxqmSdNmkRmZiZ1dXUsW7aM3NxcqquriYqKYtiwYQZXbbyAvEx56dIlcnJymDx5MocOHepe6nQ6neTn57N69Wo6Ojqora3F4/GYYoJfLfMfL0k+88wzbN26lRUrVpjijtJ/y+x2u7lw4QIlJSUUFBRgs9kCfo/J1TJ35WprawPgyJEjnDx5koyMDMNqvV6ulrmhoYHk5GQGDRrE0qVLycrKYvfu3Rw4cMC04wyQlZXFqVOngMt3krrd7oA/mYSrZx4yZAiLFi3i7bffBi7vkayuriYxMdHIcq+Lfzqeu+bw1KlTiYiIMM32kn+a2xUVFRQXFwPgcrkoLy83xWfY9RAQK2MVFRVs3boVm81GVFQUkZGRjBw5ErvdzuHDh2lqamLs2LFYrVZuuukmGhoaOHjwIL///jsLFiwIyOX9/5q56+aEjo4OysrKiIqKYuHChd1n1oHkWjID7Nu3jzfeeIOEhASefPJJ8vLyAq7xvpbMFy9epLi4mE8++YSoqCgeeughU4/zgAEDyM7OJicnh9bWVmpra3n88ceZPHmyaccZLn9RFxUV8emnnxIREcHcuXNJTk42OMG1+6+ZQ0JCuPnmmzlz5gylpaWcO3eOxx57LCBXxa7leO6aw/v3779iBSnQXMvcTkxM5Pjx43zzzTd4PB4WLFigS5T/x+Lrp6eYXdfOP/zwQ1paWkhNTeWnn36ira2t+85BgC1btlBeXs78+fPJzMzs/nlnZyehoaFGlN5j/mTu7OykpaWF2NhYo8rvEX8yHzx4kLNnzzJz5kyjyu8RfzJXVlZSX1/PuHHjjCq/R6418yOPPHLF5ddA3EvjzzhXV1dz/vz5gLvs7k9mr9fLpUuXrtiGEAj8/a4KRP4cz21tbdTW1pKWlmZU+f1Sv1wZ8/l8XLx4kbCwML7//nvy8vKYNGkSY8aMoaCggNGjR3c/nyQlJQWXy8WuXbtobm5m+PDhWK3WgHvWVk8y79y5kwsXLjB8+HDCwsK6N7UHCn8zp6WlkZ2dbXCKa+Nv5oSEBFJSUgxOcW2ux/EciI2YP+McGxsbcKth/mYODQ0NyBNofzJ37R0LJP5mttvtxMTEGJyi/+l3HYvL5WL16tW8/PLLlJeXU1pa2v3U8bi4OJYsWcLLL7/c/Xqv10ttbS0jRoxg9uzZAblpvaeZR44cqcwBRJl1PGucL1NmZZYr9ZuVMbfbzbp16+js7OShhx5ix44d3WfGGzduZN68eQCMGjWKffv2kZOTw6BBg+jo6GDy5MlMnz494AZamZVZmZVZmZW5vwvGzH2t36yMWSwWkpKSmDx5MjExMSxatIjDhw8zb948QkNDKSoqAi7fYZWRkdF9/Tk+Pj7glvO7KLMyK7MyK3NgUebgyNzX+s3KWGhoKMnJyd0P+autraW9vZ3x48fjcDj4+eefKS0t5cSJE2RlZTFixAiDK/afMiuzMitzIFNmZTZr5r7Wb3ZLWiyWKzYmnzlzpvuOk0uXLvHEE09QX19PampqwD/8sIsyK7MyK3MgU2ZlNmvmvtZvmrE/q6mpISYmhmXLlmGz2bjtttsYMmSI0WX1KmVWZrNSZmU2K2UOjsy9rV8+Z6ympoYHHniA7Oxs7r77bmbNmmV0Sb1OmZXZrJRZmc1KmYMjc1/olytjISEhzJkzh4ULFwbNHRjKrMxmpczKbFbKHByZ+0K/XBkTERERCRb95tEWIiIiIsFIzZiIiIiIgdSMiYiIiBhIzZiIiIiIgdSMiYiIiBioXz7aQkTkejh48CCvv/46FRUVTJs2jebmZlpbW7n//vuZMWPGP773888/p7S0lDVr1vRRtSISrNSMiYhp3XLLLeTn5/Pxxx9TWFgIwPnz53nsscc4e/Ys8+fPN7ZAERHUjIlIkElMTOTZZ59lyZIlTJ8+ncLCQrKysmhsbGT06NE8+OCDVFZWsn37ds6dO0dhYSFTpkzh9ttvZ8uWLVRWVhIeHs6FCxdYsWIFkZGRRkcSkQCnZkxEgs6NN95Ia2srdXV1PProo0ycOBGA++67j6lTp5Kens6sWbMoLS2loKAAgB9++IGvv/6aoqIiANatW8e7777LU089ZVQMETEJNWMiErR8Ph+lpaXs2LEDu91OU1MTVVVVJCUl/eW1+/bto6Ghobs5a2xsxOFw9HXJImJCasZEJOgcOXKEiIgIfvzxR44dO8bGjRsBOH78OB6P52/f4/P5GDt2LKtWrer+d1tbW5/VLCLmpUdbiEhQqampYe3atSxevJjGxkZiY2MB8Hq9nD17tvt14eHheDwefD4fxcXF3HHHHezfv5/Ozk4A9u7dy+bNmw3JICLmoj8ULiKm5XK5WL9+PeXl5dx11100NTXR0tLC7Nmzueeeezhz5gzLli3D6XQSGxtLSUkJOTk5vPjii7S3t7N48WKGDh3KxIkTmTNnDkVFRbhcLlJSUmhvb2f58uWEh4cbHVNEApyaMRERERED6TKliIiIiIHUjImIiIgYSM2YiIiIiIHUjImIiIgYSM2YiIiIiIHUjImIiIgYSM2YiIiIiIH+B1bmmT9ABpZEAAAAAElFTkSuQmCC\n", "text/plain": ["<Figure size 720x432 with 1 Axes>"]}, "metadata": {}, "output_type": "display_data"}], "source": ["mrbt.plot_results()\n", "# plt.savefig('../../images/ch04/mr_plot_4.png')"]}, {"cell_type": "markdown", "metadata": {}, "source": ["<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n", "\n", "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>"]}], "metadata": {"anaconda-cloud": {}, "kernelspec": {"display_name": "Python 3", "language": "python", "name": "python3"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6"}}, "nbformat": 4, "nbformat_minor": 4}